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Finding the Fourth Proportional to 649.98, 896.53 and 387.90

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Solution

The fourth proportional to 649.98, 896.53 and 387.90 is: 535.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.98 : 896.53 = 387.90 : x
  2. Step 2: Convert to fraction form
    649.98/896.53 = 387.90/x
  3. Step 3: Cross multiply
    649.98x = 896.53 × 387.90
  4. Step 4: Simplify right side
    649.98x = 347,763.99
  5. Step 5: Solve for x
    x = 347,763.99/649.98
  6. Step 6: Final answer
    x = 535.04

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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.