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Finding the Fourth Proportional to 498.17, 746.92 and 224.12

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Solution

The fourth proportional to 498.17, 746.92 and 224.12 is: 336.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.17 : 746.92 = 224.12 : x
  2. Step 2: Convert to fraction form
    498.17/746.92 = 224.12/x
  3. Step 3: Cross multiply
    498.17x = 746.92 × 224.12
  4. Step 4: Simplify right side
    498.17x = 167,399.71
  5. Step 5: Solve for x
    x = 167,399.71/498.17
  6. Step 6: Final answer
    x = 336.03

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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.