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Finding the Fourth Proportional to 649.02, 974.16 and 324.62

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Solution

The fourth proportional to 649.02, 974.16 and 324.62 is: 487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.02 : 974.16 = 324.62 : x
  2. Step 2: Convert to fraction form
    649.02/974.16 = 324.62/x
  3. Step 3: Cross multiply
    649.02x = 974.16 × 324.62
  4. Step 4: Simplify right side
    649.02x = 316,226.95
  5. Step 5: Solve for x
    x = 316,226.95/649.02
  6. Step 6: Final answer
    x = 487.24

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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.