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Finding the Fourth Proportional to 562.17, 842.87 and 288.04

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Solution

The fourth proportional to 562.17, 842.87 and 288.04 is: 431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.17 : 842.87 = 288.04 : x
  2. Step 2: Convert to fraction form
    562.17/842.87 = 288.04/x
  3. Step 3: Cross multiply
    562.17x = 842.87 × 288.04
  4. Step 4: Simplify right side
    562.17x = 242,780.27
  5. Step 5: Solve for x
    x = 242,780.27/562.17
  6. Step 6: Final answer
    x = 431.86

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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.