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Finding the Fourth Proportional to 649.68, 896.56 and 354.95

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Solution

The fourth proportional to 649.68, 896.56 and 354.95 is: 489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.68 : 896.56 = 354.95 : x
  2. Step 2: Convert to fraction form
    649.68/896.56 = 354.95/x
  3. Step 3: Cross multiply
    649.68x = 896.56 × 354.95
  4. Step 4: Simplify right side
    649.68x = 318,233.97
  5. Step 5: Solve for x
    x = 318,233.97/649.68
  6. Step 6: Final answer
    x = 489.83

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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.