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Finding the Fourth Proportional to 511.52, 705.44 and 378.77

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Solution

The fourth proportional to 511.52, 705.44 and 378.77 is: 522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.52 : 705.44 = 378.77 : x
  2. Step 2: Convert to fraction form
    511.52/705.44 = 378.77/x
  3. Step 3: Cross multiply
    511.52x = 705.44 × 378.77
  4. Step 4: Simplify right side
    511.52x = 267,196.93
  5. Step 5: Solve for x
    x = 267,196.93/511.52
  6. Step 6: Final answer
    x = 522.36

Related Problems

Find fourth proportional to 255.76, 352.72 and 189.38
Half scale
Find fourth proportional to 1,023.03, 1,410.89 and 757.53
Double scale
Find fourth proportional to 512.52, 706.82 and 379.77
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.