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Finding the Fourth Proportional to 712.27, 983.15 and 417.61

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Solution

The fourth proportional to 712.27, 983.15 and 417.61 is: 576.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.27 : 983.15 = 417.61 : x
  2. Step 2: Convert to fraction form
    712.27/983.15 = 417.61/x
  3. Step 3: Cross multiply
    712.27x = 983.15 × 417.61
  4. Step 4: Simplify right side
    712.27x = 410,573.27
  5. Step 5: Solve for x
    x = 410,573.27/712.27
  6. Step 6: Final answer
    x = 576.43

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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.