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Finding the Fourth Proportional to 649.64, 896.68 and 400.92

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Solution

The fourth proportional to 649.64, 896.68 and 400.92 is: 553.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.64 : 896.68 = 400.92 : x
  2. Step 2: Convert to fraction form
    649.64/896.68 = 400.92/x
  3. Step 3: Cross multiply
    649.64x = 896.68 × 400.92
  4. Step 4: Simplify right side
    649.64x = 359,496.95
  5. Step 5: Solve for x
    x = 359,496.95/649.64
  6. Step 6: Final answer
    x = 553.38

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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.