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Finding the Fourth Proportional to 538.18, 742.16 and 361.09

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Solution

The fourth proportional to 538.18, 742.16 and 361.09 is: 497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.18 : 742.16 = 361.09 : x
  2. Step 2: Convert to fraction form
    538.18/742.16 = 361.09/x
  3. Step 3: Cross multiply
    538.18x = 742.16 × 361.09
  4. Step 4: Simplify right side
    538.18x = 267,988.38
  5. Step 5: Solve for x
    x = 267,988.38/538.18
  6. Step 6: Final answer
    x = 497.96

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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.