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Finding the Fourth Proportional to 618.71, 928.36 and 310.60

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Solution

The fourth proportional to 618.71, 928.36 and 310.60 is: 466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.71 : 928.36 = 310.60 : x
  2. Step 2: Convert to fraction form
    618.71/928.36 = 310.60/x
  3. Step 3: Cross multiply
    618.71x = 928.36 × 310.60
  4. Step 4: Simplify right side
    618.71x = 288,343.97
  5. Step 5: Solve for x
    x = 288,343.97/618.71
  6. Step 6: Final answer
    x = 466.04

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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.