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Finding the Fourth Proportional to 618.25, 928.05 and 462.19

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Solution

The fourth proportional to 618.25, 928.05 and 462.19 is: 693.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.25 : 928.05 = 462.19 : x
  2. Step 2: Convert to fraction form
    618.25/928.05 = 462.19/x
  3. Step 3: Cross multiply
    618.25x = 928.05 × 462.19
  4. Step 4: Simplify right side
    618.25x = 428,935.43
  5. Step 5: Solve for x
    x = 428,935.43/618.25
  6. Step 6: Final answer
    x = 693.79

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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.