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Finding the Fourth Proportional to 512.38, 707.07 and 291.32

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Solution

The fourth proportional to 512.38, 707.07 and 291.32 is: 402.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.38 : 707.07 = 291.32 : x
  2. Step 2: Convert to fraction form
    512.38/707.07 = 291.32/x
  3. Step 3: Cross multiply
    512.38x = 707.07 × 291.32
  4. Step 4: Simplify right side
    512.38x = 205,983.63
  5. Step 5: Solve for x
    x = 205,983.63/512.38
  6. Step 6: Final answer
    x = 402.01

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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.