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Finding the Fourth Proportional to 407.28, 611.46 and 224.76

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Solution

The fourth proportional to 407.28, 611.46 and 224.76 is: 337.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.28 : 611.46 = 224.76 : x
  2. Step 2: Convert to fraction form
    407.28/611.46 = 224.76/x
  3. Step 3: Cross multiply
    407.28x = 611.46 × 224.76
  4. Step 4: Simplify right side
    407.28x = 137,431.75
  5. Step 5: Solve for x
    x = 137,431.75/407.28
  6. Step 6: Final answer
    x = 337.44

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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.