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Finding the Fourth Proportional to 649.80, 896.45 and 440.15

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Solution

The fourth proportional to 649.80, 896.45 and 440.15 is: 607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.80 : 896.45 = 440.15 : x
  2. Step 2: Convert to fraction form
    649.80/896.45 = 440.15/x
  3. Step 3: Cross multiply
    649.80x = 896.45 × 440.15
  4. Step 4: Simplify right side
    649.80x = 394,565.78
  5. Step 5: Solve for x
    x = 394,565.78/649.80
  6. Step 6: Final answer
    x = 607.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.