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Finding the Fourth Proportional to 614.93, 922.08 and 224.84

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Solution

The fourth proportional to 614.93, 922.08 and 224.84 is: 337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.93 : 922.08 = 224.84 : x
  2. Step 2: Convert to fraction form
    614.93/922.08 = 224.84/x
  3. Step 3: Cross multiply
    614.93x = 922.08 × 224.84
  4. Step 4: Simplify right side
    614.93x = 207,315.86
  5. Step 5: Solve for x
    x = 207,315.86/614.93
  6. Step 6: Final answer
    x = 337.14

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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.