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Finding the Fourth Proportional to 498.23, 747.54 and 224.13

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Solution

The fourth proportional to 498.23, 747.54 and 224.13 is: 336.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.23 : 747.54 = 224.13 : x
  2. Step 2: Convert to fraction form
    498.23/747.54 = 224.13/x
  3. Step 3: Cross multiply
    498.23x = 747.54 × 224.13
  4. Step 4: Simplify right side
    498.23x = 167,546.14
  5. Step 5: Solve for x
    x = 167,546.14/498.23
  6. Step 6: Final answer
    x = 336.28

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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.