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Finding the Fourth Proportional to 498.13, 746.99 and 224.15

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Solution

The fourth proportional to 498.13, 746.99 and 224.15 is: 336.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.13 : 746.99 = 224.15 : x
  2. Step 2: Convert to fraction form
    498.13/746.99 = 224.15/x
  3. Step 3: Cross multiply
    498.13x = 746.99 × 224.15
  4. Step 4: Simplify right side
    498.13x = 167,437.44
  5. Step 5: Solve for x
    x = 167,437.44/498.13
  6. Step 6: Final answer
    x = 336.13

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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.