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Finding the Fourth Proportional to 538.55, 742.71 and 351.98

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Solution

The fourth proportional to 538.55, 742.71 and 351.98 is: 485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.55 : 742.71 = 351.98 : x
  2. Step 2: Convert to fraction form
    538.55/742.71 = 351.98/x
  3. Step 3: Cross multiply
    538.55x = 742.71 × 351.98
  4. Step 4: Simplify right side
    538.55x = 261,419.07
  5. Step 5: Solve for x
    x = 261,419.07/538.55
  6. Step 6: Final answer
    x = 485.41

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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.