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Finding the Fourth Proportional to 712.28, 982.71 and 417.57

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Solution

The fourth proportional to 712.28, 982.71 and 417.57 is: 576.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.28 : 982.71 = 417.57 : x
  2. Step 2: Convert to fraction form
    712.28/982.71 = 417.57/x
  3. Step 3: Cross multiply
    712.28x = 982.71 × 417.57
  4. Step 4: Simplify right side
    712.28x = 410,350.21
  5. Step 5: Solve for x
    x = 410,350.21/712.28
  6. Step 6: Final answer
    x = 576.11

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Why These Related Problems?

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