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Finding the Fourth Proportional to 512.38, 707.10 and 291.31

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Solution

The fourth proportional to 512.38, 707.10 and 291.31 is: 402.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.38 : 707.10 = 291.31 : x
  2. Step 2: Convert to fraction form
    512.38/707.10 = 291.31/x
  3. Step 3: Cross multiply
    512.38x = 707.10 × 291.31
  4. Step 4: Simplify right side
    512.38x = 205,985.30
  5. Step 5: Solve for x
    x = 205,985.30/512.38
  6. Step 6: Final answer
    x = 402.02

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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.