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Finding the Fourth Proportional to 618.46, 928.22 and 310.23

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Solution

The fourth proportional to 618.46, 928.22 and 310.23 is: 465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.46 : 928.22 = 310.23 : x
  2. Step 2: Convert to fraction form
    618.46/928.22 = 310.23/x
  3. Step 3: Cross multiply
    618.46x = 928.22 × 310.23
  4. Step 4: Simplify right side
    618.46x = 287,961.69
  5. Step 5: Solve for x
    x = 287,961.69/618.46
  6. Step 6: Final answer
    x = 465.61

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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.