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Finding the Fourth Proportional to 537.61, 742.25 and 338.72

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Solution

The fourth proportional to 537.61, 742.25 and 338.72 is: 467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.61 : 742.25 = 338.72 : x
  2. Step 2: Convert to fraction form
    537.61/742.25 = 338.72/x
  3. Step 3: Cross multiply
    537.61x = 742.25 × 338.72
  4. Step 4: Simplify right side
    537.61x = 251,410.15
  5. Step 5: Solve for x
    x = 251,410.15/537.61
  6. Step 6: Final answer
    x = 467.64

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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.