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Finding the Fourth Proportional to 618.44, 925.80 and 464.96

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Solution

The fourth proportional to 618.44, 925.80 and 464.96 is: 696.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.44 : 925.80 = 464.96 : x
  2. Step 2: Convert to fraction form
    618.44/925.80 = 464.96/x
  3. Step 3: Cross multiply
    618.44x = 925.80 × 464.96
  4. Step 4: Simplify right side
    618.44x = 430,459.97
  5. Step 5: Solve for x
    x = 430,459.97/618.44
  6. Step 6: Final answer
    x = 696.04

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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.