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Finding the Fourth Proportional to 498.74, 747.86 and 251.70

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Solution

The fourth proportional to 498.74, 747.86 and 251.70 is: 377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.74 : 747.86 = 251.70 : x
  2. Step 2: Convert to fraction form
    498.74/747.86 = 251.70/x
  3. Step 3: Cross multiply
    498.74x = 747.86 × 251.70
  4. Step 4: Simplify right side
    498.74x = 188,236.36
  5. Step 5: Solve for x
    x = 188,236.36/498.74
  6. Step 6: Final answer
    x = 377.42

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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.