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Finding the Fourth Proportional to 498.52, 747.80 and 224.64

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Solution

The fourth proportional to 498.52, 747.80 and 224.64 is: 336.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.52 : 747.80 = 224.64 : x
  2. Step 2: Convert to fraction form
    498.52/747.80 = 224.64/x
  3. Step 3: Cross multiply
    498.52x = 747.80 × 224.64
  4. Step 4: Simplify right side
    498.52x = 167,985.79
  5. Step 5: Solve for x
    x = 167,985.79/498.52
  6. Step 6: Final answer
    x = 336.97

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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.