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Finding the Fourth Proportional to 537.90, 742.40 and 338.87

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Solution

The fourth proportional to 537.90, 742.40 and 338.87 is: 467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.90 : 742.40 = 338.87 : x
  2. Step 2: Convert to fraction form
    537.90/742.40 = 338.87/x
  3. Step 3: Cross multiply
    537.90x = 742.40 × 338.87
  4. Step 4: Simplify right side
    537.90x = 251,571.68
  5. Step 5: Solve for x
    x = 251,571.68/537.90
  6. Step 6: Final answer
    x = 467.69

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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.