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Finding the Fourth Proportional to 512.78, 707.51 and 291.71

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Solution

The fourth proportional to 512.78, 707.51 and 291.71 is: 402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.78 : 707.51 = 291.71 : x
  2. Step 2: Convert to fraction form
    512.78/707.51 = 291.71/x
  3. Step 3: Cross multiply
    512.78x = 707.51 × 291.71
  4. Step 4: Simplify right side
    512.78x = 206,387.74
  5. Step 5: Solve for x
    x = 206,387.74/512.78
  6. Step 6: Final answer
    x = 402.49

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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.