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Finding the Fourth Proportional to 649.25, 896.13 and 400.78

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Solution

The fourth proportional to 649.25, 896.13 and 400.78 is: 553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.25 : 896.13 = 400.78 : x
  2. Step 2: Convert to fraction form
    649.25/896.13 = 400.78/x
  3. Step 3: Cross multiply
    649.25x = 896.13 × 400.78
  4. Step 4: Simplify right side
    649.25x = 359,148.74
  5. Step 5: Solve for x
    x = 359,148.74/649.25
  6. Step 6: Final answer
    x = 553.17

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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.