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Finding the Fourth Proportional to 649.36, 896.13 and 400.82

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Solution

The fourth proportional to 649.36, 896.13 and 400.82 is: 553.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.36 : 896.13 = 400.82 : x
  2. Step 2: Convert to fraction form
    649.36/896.13 = 400.82/x
  3. Step 3: Cross multiply
    649.36x = 896.13 × 400.82
  4. Step 4: Simplify right side
    649.36x = 359,186.83
  5. Step 5: Solve for x
    x = 359,186.83/649.36
  6. Step 6: Final answer
    x = 553.14

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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.