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Finding the Fourth Proportional to 715.20, 987.20 and 416.54

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Solution

The fourth proportional to 715.20, 987.20 and 416.54 is: 574.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.20 : 987.20 = 416.54 : x
  2. Step 2: Convert to fraction form
    715.20/987.20 = 416.54/x
  3. Step 3: Cross multiply
    715.20x = 987.20 × 416.54
  4. Step 4: Simplify right side
    715.20x = 411,201.27
  5. Step 5: Solve for x
    x = 411,201.27/715.20
  6. Step 6: Final answer
    x = 574.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.