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Finding the Fourth Proportional to 360.56, 541.22 and 274.46

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Solution

The fourth proportional to 360.56, 541.22 and 274.46 is: 411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.56 : 541.22 = 274.46 : x
  2. Step 2: Convert to fraction form
    360.56/541.22 = 274.46/x
  3. Step 3: Cross multiply
    360.56x = 541.22 × 274.46
  4. Step 4: Simplify right side
    360.56x = 148,543.24
  5. Step 5: Solve for x
    x = 148,543.24/360.56
  6. Step 6: Final answer
    x = 411.98

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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.