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Finding the Fourth Proportional to 493.30, 740.49 and 249.76

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Solution

The fourth proportional to 493.30, 740.49 and 249.76 is: 374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.30 : 740.49 = 249.76 : x
  2. Step 2: Convert to fraction form
    493.30/740.49 = 249.76/x
  3. Step 3: Cross multiply
    493.30x = 740.49 × 249.76
  4. Step 4: Simplify right side
    493.30x = 184,944.78
  5. Step 5: Solve for x
    x = 184,944.78/493.30
  6. Step 6: Final answer
    x = 374.91

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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.