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Finding the Fourth Proportional to 538.75, 742.74 and 521.74

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Solution

The fourth proportional to 538.75, 742.74 and 521.74 is: 719.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.75 : 742.74 = 521.74 : x
  2. Step 2: Convert to fraction form
    538.75/742.74 = 521.74/x
  3. Step 3: Cross multiply
    538.75x = 742.74 × 521.74
  4. Step 4: Simplify right side
    538.75x = 387,517.17
  5. Step 5: Solve for x
    x = 387,517.17/538.75
  6. Step 6: Final answer
    x = 719.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.