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Finding the Fourth Proportional to 537.48, 742.05 and 360.69

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Solution

The fourth proportional to 537.48, 742.05 and 360.69 is: 497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.48 : 742.05 = 360.69 : x
  2. Step 2: Convert to fraction form
    537.48/742.05 = 360.69/x
  3. Step 3: Cross multiply
    537.48x = 742.05 × 360.69
  4. Step 4: Simplify right side
    537.48x = 267,650.01
  5. Step 5: Solve for x
    x = 267,650.01/537.48
  6. Step 6: Final answer
    x = 497.97

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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.