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Finding the Fourth Proportional to 562.95, 844.43 and 409.86

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Solution

The fourth proportional to 562.95, 844.43 and 409.86 is: 614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.95 : 844.43 = 409.86 : x
  2. Step 2: Convert to fraction form
    562.95/844.43 = 409.86/x
  3. Step 3: Cross multiply
    562.95x = 844.43 × 409.86
  4. Step 4: Simplify right side
    562.95x = 346,096.03
  5. Step 5: Solve for x
    x = 346,096.03/562.95
  6. Step 6: Final answer
    x = 614.79

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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.