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Finding the Fourth Proportional to 712.24, 982.96 and 417.60

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Solution

The fourth proportional to 712.24, 982.96 and 417.60 is: 576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.24 : 982.96 = 417.60 : x
  2. Step 2: Convert to fraction form
    712.24/982.96 = 417.60/x
  3. Step 3: Cross multiply
    712.24x = 982.96 × 417.60
  4. Step 4: Simplify right side
    712.24x = 410,484.10
  5. Step 5: Solve for x
    x = 410,484.10/712.24
  6. Step 6: Final answer
    x = 576.33

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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.