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Finding the Fourth Proportional to 402.12, 554.95 and 284.14

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Solution

The fourth proportional to 402.12, 554.95 and 284.14 is: 392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.12 : 554.95 = 284.14 : x
  2. Step 2: Convert to fraction form
    402.12/554.95 = 284.14/x
  3. Step 3: Cross multiply
    402.12x = 554.95 × 284.14
  4. Step 4: Simplify right side
    402.12x = 157,683.49
  5. Step 5: Solve for x
    x = 157,683.49/402.12
  6. Step 6: Final answer
    x = 392.13

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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.