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Finding the Fourth Proportional to 538.18, 742.69 and 351.56

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Solution

The fourth proportional to 538.18, 742.69 and 351.56 is: 485.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.18 : 742.69 = 351.56 : x
  2. Step 2: Convert to fraction form
    538.18/742.69 = 351.56/x
  3. Step 3: Cross multiply
    538.18x = 742.69 × 351.56
  4. Step 4: Simplify right side
    538.18x = 261,096.38
  5. Step 5: Solve for x
    x = 261,096.38/538.18
  6. Step 6: Final answer
    x = 485.15

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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.