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Finding the Fourth Proportional to 400.65, 601.16 and 169.59

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Solution

The fourth proportional to 400.65, 601.16 and 169.59 is: 254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.65 : 601.16 = 169.59 : x
  2. Step 2: Convert to fraction form
    400.65/601.16 = 169.59/x
  3. Step 3: Cross multiply
    400.65x = 601.16 × 169.59
  4. Step 4: Simplify right side
    400.65x = 101,949.88
  5. Step 5: Solve for x
    x = 101,949.88/400.65
  6. Step 6: Final answer
    x = 254.46

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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.