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Finding the Fourth Proportional to 712.20, 982.61 and 417.54

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Solution

The fourth proportional to 712.20, 982.61 and 417.54 is: 576.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.20 : 982.61 = 417.54 : x
  2. Step 2: Convert to fraction form
    712.20/982.61 = 417.54/x
  3. Step 3: Cross multiply
    712.20x = 982.61 × 417.54
  4. Step 4: Simplify right side
    712.20x = 410,276.89
  5. Step 5: Solve for x
    x = 410,276.89/712.20
  6. Step 6: Final answer
    x = 576.07

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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.