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Finding the Fourth Proportional to 350.38, 524.31 and 252.99

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Solution

The fourth proportional to 350.38, 524.31 and 252.99 is: 378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.38 : 524.31 = 252.99 : x
  2. Step 2: Convert to fraction form
    350.38/524.31 = 252.99/x
  3. Step 3: Cross multiply
    350.38x = 524.31 × 252.99
  4. Step 4: Simplify right side
    350.38x = 132,643.09
  5. Step 5: Solve for x
    x = 132,643.09/350.38
  6. Step 6: Final answer
    x = 378.57

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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.