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Finding the Fourth Proportional to 649.92, 896.88 and 401.28

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Solution

The fourth proportional to 649.92, 896.88 and 401.28 is: 553.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.92 : 896.88 = 401.28 : x
  2. Step 2: Convert to fraction form
    649.92/896.88 = 401.28/x
  3. Step 3: Cross multiply
    649.92x = 896.88 × 401.28
  4. Step 4: Simplify right side
    649.92x = 359,900.01
  5. Step 5: Solve for x
    x = 359,900.01/649.92
  6. Step 6: Final answer
    x = 553.76

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Why These Related Problems?

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