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Finding the Fourth Proportional to 535.20, 737.01 and 387.57

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Solution

The fourth proportional to 535.20, 737.01 and 387.57 is: 533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.20 : 737.01 = 387.57 : x
  2. Step 2: Convert to fraction form
    535.20/737.01 = 387.57/x
  3. Step 3: Cross multiply
    535.20x = 737.01 × 387.57
  4. Step 4: Simplify right side
    535.20x = 285,642.97
  5. Step 5: Solve for x
    x = 285,642.97/535.20
  6. Step 6: Final answer
    x = 533.71

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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.