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Finding the Fourth Proportional to 492.17, 738.32 and 248.56

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Solution

The fourth proportional to 492.17, 738.32 and 248.56 is: 372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.17 : 738.32 = 248.56 : x
  2. Step 2: Convert to fraction form
    492.17/738.32 = 248.56/x
  3. Step 3: Cross multiply
    492.17x = 738.32 × 248.56
  4. Step 4: Simplify right side
    492.17x = 183,513.73
  5. Step 5: Solve for x
    x = 183,513.73/492.17
  6. Step 6: Final answer
    x = 372.87

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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.