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Finding the Fourth Proportional to 649.51, 896.20 and 428.85

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Solution

The fourth proportional to 649.51, 896.20 and 428.85 is: 591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.51 : 896.20 = 428.85 : x
  2. Step 2: Convert to fraction form
    649.51/896.20 = 428.85/x
  3. Step 3: Cross multiply
    649.51x = 896.20 × 428.85
  4. Step 4: Simplify right side
    649.51x = 384,334.30
  5. Step 5: Solve for x
    x = 384,334.30/649.51
  6. Step 6: Final answer
    x = 591.73

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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.