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Finding the Fourth Proportional to 402.29, 555.16 and 284.14

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Solution

The fourth proportional to 402.29, 555.16 and 284.14 is: 392.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.29 : 555.16 = 284.14 : x
  2. Step 2: Convert to fraction form
    402.29/555.16 = 284.14/x
  3. Step 3: Cross multiply
    402.29x = 555.16 × 284.14
  4. Step 4: Simplify right side
    402.29x = 157,743.16
  5. Step 5: Solve for x
    x = 157,743.16/402.29
  6. Step 6: Final answer
    x = 392.11

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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.