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Finding the Fourth Proportional to 614.96, 921.87 and 224.79

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Solution

The fourth proportional to 614.96, 921.87 and 224.79 is: 336.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.96 : 921.87 = 224.79 : x
  2. Step 2: Convert to fraction form
    614.96/921.87 = 224.79/x
  3. Step 3: Cross multiply
    614.96x = 921.87 × 224.79
  4. Step 4: Simplify right side
    614.96x = 207,227.16
  5. Step 5: Solve for x
    x = 207,227.16/614.96
  6. Step 6: Final answer
    x = 336.98

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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.