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Finding the Fourth Proportional to 538.05, 742.10 and 360.96

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Solution

The fourth proportional to 538.05, 742.10 and 360.96 is: 497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.05 : 742.10 = 360.96 : x
  2. Step 2: Convert to fraction form
    538.05/742.10 = 360.96/x
  3. Step 3: Cross multiply
    538.05x = 742.10 × 360.96
  4. Step 4: Simplify right side
    538.05x = 267,866.61
  5. Step 5: Solve for x
    x = 267,866.61/538.05
  6. Step 6: Final answer
    x = 497.85

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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.