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Finding the Fourth Proportional to 535.83, 801.92 and 426.48

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Solution

The fourth proportional to 535.83, 801.92 and 426.48 is: 638.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.83 : 801.92 = 426.48 : x
  2. Step 2: Convert to fraction form
    535.83/801.92 = 426.48/x
  3. Step 3: Cross multiply
    535.83x = 801.92 × 426.48
  4. Step 4: Simplify right side
    535.83x = 342,003.91
  5. Step 5: Solve for x
    x = 342,003.91/535.83
  6. Step 6: Final answer
    x = 638.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.