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Finding the Fourth Proportional to 974.88, 1,462.36 and 244.48

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Solution

The fourth proportional to 974.88, 1,462.36 and 244.48 is: 366.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.88 : 1,462.36 = 244.48 : x
  2. Step 2: Convert to fraction form
    974.88/1,462.36 = 244.48/x
  3. Step 3: Cross multiply
    974.88x = 1,462.36 × 244.48
  4. Step 4: Simplify right side
    974.88x = 357,517.77
  5. Step 5: Solve for x
    x = 357,517.77/974.88
  6. Step 6: Final answer
    x = 366.73

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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.