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Finding the Fourth Proportional to 649.57, 896.16 and 400.81

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Solution

The fourth proportional to 649.57, 896.16 and 400.81 is: 552.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.57 : 896.16 = 400.81 : x
  2. Step 2: Convert to fraction form
    649.57/896.16 = 400.81/x
  3. Step 3: Cross multiply
    649.57x = 896.16 × 400.81
  4. Step 4: Simplify right side
    649.57x = 359,189.89
  5. Step 5: Solve for x
    x = 359,189.89/649.57
  6. Step 6: Final answer
    x = 552.97

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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.