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Finding the Fourth Proportional to 974.69, 1,462.10 and 397.57

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Solution

The fourth proportional to 974.69, 1,462.10 and 397.57 is: 596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.69 : 1,462.10 = 397.57 : x
  2. Step 2: Convert to fraction form
    974.69/1,462.10 = 397.57/x
  3. Step 3: Cross multiply
    974.69x = 1,462.10 × 397.57
  4. Step 4: Simplify right side
    974.69x = 581,279.79
  5. Step 5: Solve for x
    x = 581,279.79/974.69
  6. Step 6: Final answer
    x = 596.37

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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.