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Finding the Fourth Proportional to 537.88, 799.97 and 532.12

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Solution

The fourth proportional to 537.88, 799.97 and 532.12 is: 791.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.88 : 799.97 = 532.12 : x
  2. Step 2: Convert to fraction form
    537.88/799.97 = 532.12/x
  3. Step 3: Cross multiply
    537.88x = 799.97 × 532.12
  4. Step 4: Simplify right side
    537.88x = 425,680.04
  5. Step 5: Solve for x
    x = 425,680.04/537.88
  6. Step 6: Final answer
    x = 791.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.