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Finding the Fourth Proportional to 512.88, 707.36 and 402.16

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Solution

The fourth proportional to 512.88, 707.36 and 402.16 is: 554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.88 : 707.36 = 402.16 : x
  2. Step 2: Convert to fraction form
    512.88/707.36 = 402.16/x
  3. Step 3: Cross multiply
    512.88x = 707.36 × 402.16
  4. Step 4: Simplify right side
    512.88x = 284,471.90
  5. Step 5: Solve for x
    x = 284,471.90/512.88
  6. Step 6: Final answer
    x = 554.66

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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.