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Finding the Fourth Proportional to 649.45, 896.07 and 387.46

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Solution

The fourth proportional to 649.45, 896.07 and 387.46 is: 534.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.45 : 896.07 = 387.46 : x
  2. Step 2: Convert to fraction form
    649.45/896.07 = 387.46/x
  3. Step 3: Cross multiply
    649.45x = 896.07 × 387.46
  4. Step 4: Simplify right side
    649.45x = 347,191.28
  5. Step 5: Solve for x
    x = 347,191.28/649.45
  6. Step 6: Final answer
    x = 534.59

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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.