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Finding the Fourth Proportional to 649.65, 896.52 and 354.92

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Solution

The fourth proportional to 649.65, 896.52 and 354.92 is: 489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.65 : 896.52 = 354.92 : x
  2. Step 2: Convert to fraction form
    649.65/896.52 = 354.92/x
  3. Step 3: Cross multiply
    649.65x = 896.52 × 354.92
  4. Step 4: Simplify right side
    649.65x = 318,188.40
  5. Step 5: Solve for x
    x = 318,188.40/649.65
  6. Step 6: Final answer
    x = 489.78

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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.