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Finding the Fourth Proportional to 618.34, 927.60 and 310.54

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Solution

The fourth proportional to 618.34, 927.60 and 310.54 is: 465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.34 : 927.60 = 310.54 : x
  2. Step 2: Convert to fraction form
    618.34/927.60 = 310.54/x
  3. Step 3: Cross multiply
    618.34x = 927.60 × 310.54
  4. Step 4: Simplify right side
    618.34x = 288,056.90
  5. Step 5: Solve for x
    x = 288,056.90/618.34
  6. Step 6: Final answer
    x = 465.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.