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Finding the Fourth Proportional to 649.42, 974.13 and 406.11

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Solution

The fourth proportional to 649.42, 974.13 and 406.11 is: 609.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.42 : 974.13 = 406.11 : x
  2. Step 2: Convert to fraction form
    649.42/974.13 = 406.11/x
  3. Step 3: Cross multiply
    649.42x = 974.13 × 406.11
  4. Step 4: Simplify right side
    649.42x = 395,606.06
  5. Step 5: Solve for x
    x = 395,606.06/649.42
  6. Step 6: Final answer
    x = 609.17

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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.