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Finding the Fourth Proportional to 488.30, 731.42 and 366.39

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Solution

The fourth proportional to 488.30, 731.42 and 366.39 is: 548.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.30 : 731.42 = 366.39 : x
  2. Step 2: Convert to fraction form
    488.30/731.42 = 366.39/x
  3. Step 3: Cross multiply
    488.30x = 731.42 × 366.39
  4. Step 4: Simplify right side
    488.30x = 267,983.14
  5. Step 5: Solve for x
    x = 267,983.14/488.30
  6. Step 6: Final answer
    x = 548.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.