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Finding the Fourth Proportional to 408.84, 564.12 and 253.52

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Solution

The fourth proportional to 408.84, 564.12 and 253.52 is: 349.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.84 : 564.12 = 253.52 : x
  2. Step 2: Convert to fraction form
    408.84/564.12 = 253.52/x
  3. Step 3: Cross multiply
    408.84x = 564.12 × 253.52
  4. Step 4: Simplify right side
    408.84x = 143,015.70
  5. Step 5: Solve for x
    x = 143,015.70/408.84
  6. Step 6: Final answer
    x = 349.81

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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.