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Finding the Fourth Proportional to 649.63, 896.49 and 354.90

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Solution

The fourth proportional to 649.63, 896.49 and 354.90 is: 489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.63 : 896.49 = 354.90 : x
  2. Step 2: Convert to fraction form
    649.63/896.49 = 354.90/x
  3. Step 3: Cross multiply
    649.63x = 896.49 × 354.90
  4. Step 4: Simplify right side
    649.63x = 318,164.86
  5. Step 5: Solve for x
    x = 318,164.86/649.63
  6. Step 6: Final answer
    x = 489.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.