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Finding the Fourth Proportional to 649.15, 895.86 and 354.41

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Solution

The fourth proportional to 649.15, 895.86 and 354.41 is: 489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.15 : 895.86 = 354.41 : x
  2. Step 2: Convert to fraction form
    649.15/895.86 = 354.41/x
  3. Step 3: Cross multiply
    649.15x = 895.86 × 354.41
  4. Step 4: Simplify right side
    649.15x = 317,500.62
  5. Step 5: Solve for x
    x = 317,500.62/649.15
  6. Step 6: Final answer
    x = 489.10

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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.