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Finding the Fourth Proportional to 649.32, 896.07 and 354.59

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Solution

The fourth proportional to 649.32, 896.07 and 354.59 is: 489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.32 : 896.07 = 354.59 : x
  2. Step 2: Convert to fraction form
    649.32/896.07 = 354.59/x
  3. Step 3: Cross multiply
    649.32x = 896.07 × 354.59
  4. Step 4: Simplify right side
    649.32x = 317,737.46
  5. Step 5: Solve for x
    x = 317,737.46/649.32
  6. Step 6: Final answer
    x = 489.34

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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.