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Finding the Fourth Proportional to 498.42, 746.97 and 224.10

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Solution

The fourth proportional to 498.42, 746.97 and 224.10 is: 335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.42 : 746.97 = 224.10 : x
  2. Step 2: Convert to fraction form
    498.42/746.97 = 224.10/x
  3. Step 3: Cross multiply
    498.42x = 746.97 × 224.10
  4. Step 4: Simplify right side
    498.42x = 167,395.98
  5. Step 5: Solve for x
    x = 167,395.98/498.42
  6. Step 6: Final answer
    x = 335.85

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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.