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Finding the Fourth Proportional to 492.80, 738.76 and 232.75

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Solution

The fourth proportional to 492.80, 738.76 and 232.75 is: 348.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.80 : 738.76 = 232.75 : x
  2. Step 2: Convert to fraction form
    492.80/738.76 = 232.75/x
  3. Step 3: Cross multiply
    492.80x = 738.76 × 232.75
  4. Step 4: Simplify right side
    492.80x = 171,944.76
  5. Step 5: Solve for x
    x = 171,944.76/492.80
  6. Step 6: Final answer
    x = 348.92

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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.