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Finding the Fourth Proportional to 649.87, 897.28 and 401.27

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Solution

The fourth proportional to 649.87, 897.28 and 401.27 is: 554.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.87 : 897.28 = 401.27 : x
  2. Step 2: Convert to fraction form
    649.87/897.28 = 401.27/x
  3. Step 3: Cross multiply
    649.87x = 897.28 × 401.27
  4. Step 4: Simplify right side
    649.87x = 360,046.06
  5. Step 5: Solve for x
    x = 360,046.06/649.87
  6. Step 6: Final answer
    x = 554.03

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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.