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Finding the Fourth Proportional to 543.92, 815.15 and 284.13

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Solution

The fourth proportional to 543.92, 815.15 and 284.13 is: 425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.92 : 815.15 = 284.13 : x
  2. Step 2: Convert to fraction form
    543.92/815.15 = 284.13/x
  3. Step 3: Cross multiply
    543.92x = 815.15 × 284.13
  4. Step 4: Simplify right side
    543.92x = 231,611.17
  5. Step 5: Solve for x
    x = 231,611.17/543.92
  6. Step 6: Final answer
    x = 425.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.