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Finding the Fourth Proportional to 410.53, 614.24 and 252.27

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Solution

The fourth proportional to 410.53, 614.24 and 252.27 is: 377.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.53 : 614.24 = 252.27 : x
  2. Step 2: Convert to fraction form
    410.53/614.24 = 252.27/x
  3. Step 3: Cross multiply
    410.53x = 614.24 × 252.27
  4. Step 4: Simplify right side
    410.53x = 154,954.96
  5. Step 5: Solve for x
    x = 154,954.96/410.53
  6. Step 6: Final answer
    x = 377.45

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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.