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Finding the Fourth Proportional to 649.42, 896.21 and 354.71

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Solution

The fourth proportional to 649.42, 896.21 and 354.71 is: 489.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.42 : 896.21 = 354.71 : x
  2. Step 2: Convert to fraction form
    649.42/896.21 = 354.71/x
  3. Step 3: Cross multiply
    649.42x = 896.21 × 354.71
  4. Step 4: Simplify right side
    649.42x = 317,892.88
  5. Step 5: Solve for x
    x = 317,892.88/649.42
  6. Step 6: Final answer
    x = 489.51

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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.