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Finding the Fourth Proportional to 649.46, 896.33 and 428.87

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Solution

The fourth proportional to 649.46, 896.33 and 428.87 is: 591.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.46 : 896.33 = 428.87 : x
  2. Step 2: Convert to fraction form
    649.46/896.33 = 428.87/x
  3. Step 3: Cross multiply
    649.46x = 896.33 × 428.87
  4. Step 4: Simplify right side
    649.46x = 384,404.03
  5. Step 5: Solve for x
    x = 384,404.03/649.46
  6. Step 6: Final answer
    x = 591.89

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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.