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Finding the Fourth Proportional to 614.91, 922.59 and 204.24

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Solution

The fourth proportional to 614.91, 922.59 and 204.24 is: 306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.91 : 922.59 = 204.24 : x
  2. Step 2: Convert to fraction form
    614.91/922.59 = 204.24/x
  3. Step 3: Cross multiply
    614.91x = 922.59 × 204.24
  4. Step 4: Simplify right side
    614.91x = 188,429.78
  5. Step 5: Solve for x
    x = 188,429.78/614.91
  6. Step 6: Final answer
    x = 306.43

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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.