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Finding the Fourth Proportional to 649.31, 974.02 and 320.43

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Solution

The fourth proportional to 649.31, 974.02 and 320.43 is: 480.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.31 : 974.02 = 320.43 : x
  2. Step 2: Convert to fraction form
    649.31/974.02 = 320.43/x
  3. Step 3: Cross multiply
    649.31x = 974.02 × 320.43
  4. Step 4: Simplify right side
    649.31x = 312,098.76
  5. Step 5: Solve for x
    x = 312,098.76/649.31
  6. Step 6: Final answer
    x = 480.66

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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.