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Finding the Fourth Proportional to 562.46, 843.83 and 284.13

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Solution

The fourth proportional to 562.46, 843.83 and 284.13 is: 426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.46 : 843.83 = 284.13 : x
  2. Step 2: Convert to fraction form
    562.46/843.83 = 284.13/x
  3. Step 3: Cross multiply
    562.46x = 843.83 × 284.13
  4. Step 4: Simplify right side
    562.46x = 239,758.13
  5. Step 5: Solve for x
    x = 239,758.13/562.46
  6. Step 6: Final answer
    x = 426.27

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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.