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Finding the Fourth Proportional to 498.06, 747.23 and 224.15

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Solution

The fourth proportional to 498.06, 747.23 and 224.15 is: 336.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.06 : 747.23 = 224.15 : x
  2. Step 2: Convert to fraction form
    498.06/747.23 = 224.15/x
  3. Step 3: Cross multiply
    498.06x = 747.23 × 224.15
  4. Step 4: Simplify right side
    498.06x = 167,486.75
  5. Step 5: Solve for x
    x = 167,486.75/498.06
  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.