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Finding the Fourth Proportional to 610.58, 842.56 and 345.02

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Solution

The fourth proportional to 610.58, 842.56 and 345.02 is: 476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.58 : 842.56 = 345.02 : x
  2. Step 2: Convert to fraction form
    610.58/842.56 = 345.02/x
  3. Step 3: Cross multiply
    610.58x = 842.56 × 345.02
  4. Step 4: Simplify right side
    610.58x = 290,703.33
  5. Step 5: Solve for x
    x = 290,703.33/610.58
  6. Step 6: Final answer
    x = 476.11

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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.