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Finding the Fourth Proportional to 360.76, 496.66 and 311.36

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Solution

The fourth proportional to 360.76, 496.66 and 311.36 is: 428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.76 : 496.66 = 311.36 : x
  2. Step 2: Convert to fraction form
    360.76/496.66 = 311.36/x
  3. Step 3: Cross multiply
    360.76x = 496.66 × 311.36
  4. Step 4: Simplify right side
    360.76x = 154,640.06
  5. Step 5: Solve for x
    x = 154,640.06/360.76
  6. Step 6: Final answer
    x = 428.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.