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Finding the Fourth Proportional to 649.97, 897.21 and 441.23

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Solution

The fourth proportional to 649.97, 897.21 and 441.23 is: 609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.97 : 897.21 = 441.23 : x
  2. Step 2: Convert to fraction form
    649.97/897.21 = 441.23/x
  3. Step 3: Cross multiply
    649.97x = 897.21 × 441.23
  4. Step 4: Simplify right side
    649.97x = 395,875.42
  5. Step 5: Solve for x
    x = 395,875.42/649.97
  6. Step 6: Final answer
    x = 609.06

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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.