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Finding the Fourth Proportional to 716.91, 989.17 and 418.08

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Solution

The fourth proportional to 716.91, 989.17 and 418.08 is: 576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.91 : 989.17 = 418.08 : x
  2. Step 2: Convert to fraction form
    716.91/989.17 = 418.08/x
  3. Step 3: Cross multiply
    716.91x = 989.17 × 418.08
  4. Step 4: Simplify right side
    716.91x = 413,552.19
  5. Step 5: Solve for x
    x = 413,552.19/716.91
  6. Step 6: Final answer
    x = 576.85

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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.