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Finding the Fourth Proportional to 302.24, 418.07 and 252.96

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Solution

The fourth proportional to 302.24, 418.07 and 252.96 is: 349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.24 : 418.07 = 252.96 : x
  2. Step 2: Convert to fraction form
    302.24/418.07 = 252.96/x
  3. Step 3: Cross multiply
    302.24x = 418.07 × 252.96
  4. Step 4: Simplify right side
    302.24x = 105,755.62
  5. Step 5: Solve for x
    x = 105,755.62/302.24
  6. Step 6: Final answer
    x = 349.91

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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.