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Finding the Fourth Proportional to 712.14, 982.80 and 417.48

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Solution

The fourth proportional to 712.14, 982.80 and 417.48 is: 576.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.14 : 982.80 = 417.48 : x
  2. Step 2: Convert to fraction form
    712.14/982.80 = 417.48/x
  3. Step 3: Cross multiply
    712.14x = 982.80 × 417.48
  4. Step 4: Simplify right side
    712.14x = 410,299.34
  5. Step 5: Solve for x
    x = 410,299.34/712.14
  6. Step 6: Final answer
    x = 576.15

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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.