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Finding the Fourth Proportional to 562.20, 842.90 and 379.14

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Solution

The fourth proportional to 562.20, 842.90 and 379.14 is: 568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.20 : 842.90 = 379.14 : x
  2. Step 2: Convert to fraction form
    562.20/842.90 = 379.14/x
  3. Step 3: Cross multiply
    562.20x = 842.90 × 379.14
  4. Step 4: Simplify right side
    562.20x = 319,575.21
  5. Step 5: Solve for x
    x = 319,575.21/562.20
  6. Step 6: Final answer
    x = 568.44

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