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Finding the Fourth Proportional to 365.31, 547.56 and 257.18

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Solution

The fourth proportional to 365.31, 547.56 and 257.18 is: 385.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.31 : 547.56 = 257.18 : x
  2. Step 2: Convert to fraction form
    365.31/547.56 = 257.18/x
  3. Step 3: Cross multiply
    365.31x = 547.56 × 257.18
  4. Step 4: Simplify right side
    365.31x = 140,818.74
  5. Step 5: Solve for x
    x = 140,818.74/365.31
  6. Step 6: Final answer
    x = 385.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.