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Finding the Fourth Proportional to 649.29, 896.49 and 400.95

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Solution

The fourth proportional to 649.29, 896.49 and 400.95 is: 553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.29 : 896.49 = 400.95 : x
  2. Step 2: Convert to fraction form
    649.29/896.49 = 400.95/x
  3. Step 3: Cross multiply
    649.29x = 896.49 × 400.95
  4. Step 4: Simplify right side
    649.29x = 359,447.67
  5. Step 5: Solve for x
    x = 359,447.67/649.29
  6. Step 6: Final answer
    x = 553.60

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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.