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Finding the Fourth Proportional to 535.97, 801.89 and 497.09

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Solution

The fourth proportional to 535.97, 801.89 and 497.09 is: 743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.97 : 801.89 = 497.09 : x
  2. Step 2: Convert to fraction form
    535.97/801.89 = 497.09/x
  3. Step 3: Cross multiply
    535.97x = 801.89 × 497.09
  4. Step 4: Simplify right side
    535.97x = 398,611.50
  5. Step 5: Solve for x
    x = 398,611.50/535.97
  6. Step 6: Final answer
    x = 743.72

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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.