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Finding the Fourth Proportional to 618.57, 928.02 and 310.05

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Solution

The fourth proportional to 618.57, 928.02 and 310.05 is: 465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.57 : 928.02 = 310.05 : x
  2. Step 2: Convert to fraction form
    618.57/928.02 = 310.05/x
  3. Step 3: Cross multiply
    618.57x = 928.02 × 310.05
  4. Step 4: Simplify right side
    618.57x = 287,729.12
  5. Step 5: Solve for x
    x = 287,729.12/618.57
  6. Step 6: Final answer
    x = 465.15

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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.