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Finding the Fourth Proportional to 512.53, 707.31 and 291.47

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Solution

The fourth proportional to 512.53, 707.31 and 291.47 is: 402.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.53 : 707.31 = 291.47 : x
  2. Step 2: Convert to fraction form
    512.53/707.31 = 291.47/x
  3. Step 3: Cross multiply
    512.53x = 707.31 × 291.47
  4. Step 4: Simplify right side
    512.53x = 206,156.11
  5. Step 5: Solve for x
    x = 206,156.11/512.53
  6. Step 6: Final answer
    x = 402.23

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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.