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Finding the Fourth Proportional to 409.53, 565.25 and 254.25

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Solution

The fourth proportional to 409.53, 565.25 and 254.25 is: 350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.53 : 565.25 = 254.25 : x
  2. Step 2: Convert to fraction form
    409.53/565.25 = 254.25/x
  3. Step 3: Cross multiply
    409.53x = 565.25 × 254.25
  4. Step 4: Simplify right side
    409.53x = 143,713.54
  5. Step 5: Solve for x
    x = 143,713.54/409.53
  6. Step 6: Final answer
    x = 350.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.