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Finding the Fourth Proportional to 649.34, 974.13 and 302.61

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Solution

The fourth proportional to 649.34, 974.13 and 302.61 is: 453.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.34 : 974.13 = 302.61 : x
  2. Step 2: Convert to fraction form
    649.34/974.13 = 302.61/x
  3. Step 3: Cross multiply
    649.34x = 974.13 × 302.61
  4. Step 4: Simplify right side
    649.34x = 294,781.26
  5. Step 5: Solve for x
    x = 294,781.26/649.34
  6. Step 6: Final answer
    x = 453.97

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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.