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Finding the Fourth Proportional to 712.71, 982.98 and 417.87

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Solution

The fourth proportional to 712.71, 982.98 and 417.87 is: 576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.71 : 982.98 = 417.87 : x
  2. Step 2: Convert to fraction form
    712.71/982.98 = 417.87/x
  3. Step 3: Cross multiply
    712.71x = 982.98 × 417.87
  4. Step 4: Simplify right side
    712.71x = 410,757.85
  5. Step 5: Solve for x
    x = 410,757.85/712.71
  6. Step 6: Final answer
    x = 576.33

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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.