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Finding the Fourth Proportional to 974.85, 1,462.25 and 397.73

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Solution

The fourth proportional to 974.85, 1,462.25 and 397.73 is: 596.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.85 : 1,462.25 = 397.73 : x
  2. Step 2: Convert to fraction form
    974.85/1,462.25 = 397.73/x
  3. Step 3: Cross multiply
    974.85x = 1,462.25 × 397.73
  4. Step 4: Simplify right side
    974.85x = 581,580.69
  5. Step 5: Solve for x
    x = 581,580.69/974.85
  6. Step 6: Final answer
    x = 596.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.