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Finding the Fourth Proportional to 362.72, 544.20 and 265.06

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Solution

The fourth proportional to 362.72, 544.20 and 265.06 is: 397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.72 : 544.20 = 265.06 : x
  2. Step 2: Convert to fraction form
    362.72/544.20 = 265.06/x
  3. Step 3: Cross multiply
    362.72x = 544.20 × 265.06
  4. Step 4: Simplify right side
    362.72x = 144,245.65
  5. Step 5: Solve for x
    x = 144,245.65/362.72
  6. Step 6: Final answer
    x = 397.68

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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.