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Finding the Fourth Proportional to 649.20, 896.63 and 429.15

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Solution

The fourth proportional to 649.20, 896.63 and 429.15 is: 592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.20 : 896.63 = 429.15 : x
  2. Step 2: Convert to fraction form
    649.20/896.63 = 429.15/x
  3. Step 3: Cross multiply
    649.20x = 896.63 × 429.15
  4. Step 4: Simplify right side
    649.20x = 384,786.62
  5. Step 5: Solve for x
    x = 384,786.62/649.20
  6. Step 6: Final answer
    x = 592.71

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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.