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Finding the Fourth Proportional to 649.54, 896.38 and 354.82

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Solution

The fourth proportional to 649.54, 896.38 and 354.82 is: 489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.54 : 896.38 = 354.82 : x
  2. Step 2: Convert to fraction form
    649.54/896.38 = 354.82/x
  3. Step 3: Cross multiply
    649.54x = 896.38 × 354.82
  4. Step 4: Simplify right side
    649.54x = 318,053.55
  5. Step 5: Solve for x
    x = 318,053.55/649.54
  6. Step 6: Final answer
    x = 489.66

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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.