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Finding the Fourth Proportional to 442.32, 661.56 and 401.44

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Solution

The fourth proportional to 442.32, 661.56 and 401.44 is: 600.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.32 : 661.56 = 401.44 : x
  2. Step 2: Convert to fraction form
    442.32/661.56 = 401.44/x
  3. Step 3: Cross multiply
    442.32x = 661.56 × 401.44
  4. Step 4: Simplify right side
    442.32x = 265,576.65
  5. Step 5: Solve for x
    x = 265,576.65/442.32
  6. Step 6: Final answer
    x = 600.42

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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.