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Finding the Fourth Proportional to 350.88, 525.92 and 229.22

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Solution

The fourth proportional to 350.88, 525.92 and 229.22 is: 343.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.88 : 525.92 = 229.22 : x
  2. Step 2: Convert to fraction form
    350.88/525.92 = 229.22/x
  3. Step 3: Cross multiply
    350.88x = 525.92 × 229.22
  4. Step 4: Simplify right side
    350.88x = 120,551.38
  5. Step 5: Solve for x
    x = 120,551.38/350.88
  6. Step 6: Final answer
    x = 343.57

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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.