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Finding the Fourth Proportional to 492.39, 738.20 and 232.26

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Solution

The fourth proportional to 492.39, 738.20 and 232.26 is: 348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.39 : 738.20 = 232.26 : x
  2. Step 2: Convert to fraction form
    492.39/738.20 = 232.26/x
  3. Step 3: Cross multiply
    492.39x = 738.20 × 232.26
  4. Step 4: Simplify right side
    492.39x = 171,454.04
  5. Step 5: Solve for x
    x = 171,454.04/492.39
  6. Step 6: Final answer
    x = 348.21

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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.