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Finding the Fourth Proportional to 649.35, 896.11 and 354.64

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Solution

The fourth proportional to 649.35, 896.11 and 354.64 is: 489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.35 : 896.11 = 354.64 : x
  2. Step 2: Convert to fraction form
    649.35/896.11 = 354.64/x
  3. Step 3: Cross multiply
    649.35x = 896.11 × 354.64
  4. Step 4: Simplify right side
    649.35x = 317,796.45
  5. Step 5: Solve for x
    x = 317,796.45/649.35
  6. Step 6: Final answer
    x = 489.41

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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.