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Finding the Fourth Proportional to 610.31, 842.13 and 344.77

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Solution

The fourth proportional to 610.31, 842.13 and 344.77 is: 475.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.31 : 842.13 = 344.77 : x
  2. Step 2: Convert to fraction form
    610.31/842.13 = 344.77/x
  3. Step 3: Cross multiply
    610.31x = 842.13 × 344.77
  4. Step 4: Simplify right side
    610.31x = 290,339.05
  5. Step 5: Solve for x
    x = 290,339.05/610.31
  6. Step 6: Final answer
    x = 475.72

Related Problems

Find fourth proportional to 305.16, 421.07 and 172.38
Half scale
Find fourth proportional to 1,220.63, 1,684.26 and 689.54
Double scale
Find fourth proportional to 611.31, 843.51 and 345.77
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.