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Finding the Fourth Proportional to 649.97, 896.48 and 401.42

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Solution

The fourth proportional to 649.97, 896.48 and 401.42 is: 553.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.97 : 896.48 = 401.42 : x
  2. Step 2: Convert to fraction form
    649.97/896.48 = 401.42/x
  3. Step 3: Cross multiply
    649.97x = 896.48 × 401.42
  4. Step 4: Simplify right side
    649.97x = 359,865.00
  5. Step 5: Solve for x
    x = 359,865.00/649.97
  6. Step 6: Final answer
    x = 553.66

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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.