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Finding the Fourth Proportional to 494.60, 740.52 and 249.92

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Solution

The fourth proportional to 494.60, 740.52 and 249.92 is: 374.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.60 : 740.52 = 249.92 : x
  2. Step 2: Convert to fraction form
    494.60/740.52 = 249.92/x
  3. Step 3: Cross multiply
    494.60x = 740.52 × 249.92
  4. Step 4: Simplify right side
    494.60x = 185,070.76
  5. Step 5: Solve for x
    x = 185,070.76/494.60
  6. Step 6: Final answer
    x = 374.19

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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.