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Finding the Fourth Proportional to 537.12, 743.04 and 517.68

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Solution

The fourth proportional to 537.12, 743.04 and 517.68 is: 716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.12 : 743.04 = 517.68 : x
  2. Step 2: Convert to fraction form
    537.12/743.04 = 517.68/x
  3. Step 3: Cross multiply
    537.12x = 743.04 × 517.68
  4. Step 4: Simplify right side
    537.12x = 384,656.95
  5. Step 5: Solve for x
    x = 384,656.95/537.12
  6. Step 6: Final answer
    x = 716.15

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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.