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Finding the Fourth Proportional to 467.31, 699.96 and 415.38

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Solution

The fourth proportional to 467.31, 699.96 and 415.38 is: 622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.31 : 699.96 = 415.38 : x
  2. Step 2: Convert to fraction form
    467.31/699.96 = 415.38/x
  3. Step 3: Cross multiply
    467.31x = 699.96 × 415.38
  4. Step 4: Simplify right side
    467.31x = 290,749.38
  5. Step 5: Solve for x
    x = 290,749.38/467.31
  6. Step 6: Final answer
    x = 622.18

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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.