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Finding the Fourth Proportional to 493.92, 741.29 and 250.52

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Solution

The fourth proportional to 493.92, 741.29 and 250.52 is: 375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.92 : 741.29 = 250.52 : x
  2. Step 2: Convert to fraction form
    493.92/741.29 = 250.52/x
  3. Step 3: Cross multiply
    493.92x = 741.29 × 250.52
  4. Step 4: Simplify right side
    493.92x = 185,707.97
  5. Step 5: Solve for x
    x = 185,707.97/493.92
  6. Step 6: Final answer
    x = 375.99

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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.