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Finding the Fourth Proportional to 649.82, 896.46 and 387.84

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Solution

The fourth proportional to 649.82, 896.46 and 387.84 is: 535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.82 : 896.46 = 387.84 : x
  2. Step 2: Convert to fraction form
    649.82/896.46 = 387.84/x
  3. Step 3: Cross multiply
    649.82x = 896.46 × 387.84
  4. Step 4: Simplify right side
    649.82x = 347,683.05
  5. Step 5: Solve for x
    x = 347,683.05/649.82
  6. Step 6: Final answer
    x = 535.05

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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.