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Finding the Fourth Proportional to 537.14, 741 and 315.95

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Solution

The fourth proportional to 537.14, 741 and 315.95 is: 435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.14 : 741 = 315.95 : x
  2. Step 2: Convert to fraction form
    537.14/741 = 315.95/x
  3. Step 3: Cross multiply
    537.14x = 741 × 315.95
  4. Step 4: Simplify right side
    537.14x = 234,115.25
  5. Step 5: Solve for x
    x = 234,115.25/537.14
  6. Step 6: Final answer
    x = 435.85

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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.