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Finding the Fourth Proportional to 562.57, 844.14 and 274

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Solution

The fourth proportional to 562.57, 844.14 and 274 is: 411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.57 : 844.14 = 274 : x
  2. Step 2: Convert to fraction form
    562.57/844.14 = 274/x
  3. Step 3: Cross multiply
    562.57x = 844.14 × 274
  4. Step 4: Simplify right side
    562.57x = 231,294.36
  5. Step 5: Solve for x
    x = 231,294.36/562.57
  6. Step 6: Final answer
    x = 411.14

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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.