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Finding the Fourth Proportional to 360.72, 539.66 and 274.29

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Solution

The fourth proportional to 360.72, 539.66 and 274.29 is: 410.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.72 : 539.66 = 274.29 : x
  2. Step 2: Convert to fraction form
    360.72/539.66 = 274.29/x
  3. Step 3: Cross multiply
    360.72x = 539.66 × 274.29
  4. Step 4: Simplify right side
    360.72x = 148,021.97
  5. Step 5: Solve for x
    x = 148,021.97/360.72
  6. Step 6: Final answer
    x = 410.35

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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.