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Finding the Fourth Proportional to 649.47, 896.27 and 354.73

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Solution

The fourth proportional to 649.47, 896.27 and 354.73 is: 489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.47 : 896.27 = 354.73 : x
  2. Step 2: Convert to fraction form
    649.47/896.27 = 354.73/x
  3. Step 3: Cross multiply
    649.47x = 896.27 × 354.73
  4. Step 4: Simplify right side
    649.47x = 317,931.52
  5. Step 5: Solve for x
    x = 317,931.52/649.47
  6. Step 6: Final answer
    x = 489.53

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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.