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Finding the Fourth Proportional to 485.52, 726.72 and 268.56

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Solution

The fourth proportional to 485.52, 726.72 and 268.56 is: 401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.52 : 726.72 = 268.56 : x
  2. Step 2: Convert to fraction form
    485.52/726.72 = 268.56/x
  3. Step 3: Cross multiply
    485.52x = 726.72 × 268.56
  4. Step 4: Simplify right side
    485.52x = 195,167.92
  5. Step 5: Solve for x
    x = 195,167.92/485.52
  6. Step 6: Final answer
    x = 401.98

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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.