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Finding the Fourth Proportional to 712, 982.56 and 417.28

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Solution

The fourth proportional to 712, 982.56 and 417.28 is: 575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    712 : 982.56 = 417.28 : x
  2. Step 2: Convert to fraction form
    712/982.56 = 417.28/x
  3. Step 3: Cross multiply
    712x = 982.56 × 417.28
  4. Step 4: Simplify right side
    712x = 410,002.64
  5. Step 5: Solve for x
    x = 410,002.64/712
  6. Step 6: Final answer
    x = 575.85

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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.