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Finding the Fourth Proportional to 343.86, 515.01 and 252.33

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Solution

The fourth proportional to 343.86, 515.01 and 252.33 is: 377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.86 : 515.01 = 252.33 : x
  2. Step 2: Convert to fraction form
    343.86/515.01 = 252.33/x
  3. Step 3: Cross multiply
    343.86x = 515.01 × 252.33
  4. Step 4: Simplify right side
    343.86x = 129,952.47
  5. Step 5: Solve for x
    x = 129,952.47/343.86
  6. Step 6: Final answer
    x = 377.92

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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.