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Finding the Fourth Proportional to 296.87, 408.76 and 252.52

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Solution

The fourth proportional to 296.87, 408.76 and 252.52 is: 347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.87 : 408.76 = 252.52 : x
  2. Step 2: Convert to fraction form
    296.87/408.76 = 252.52/x
  3. Step 3: Cross multiply
    296.87x = 408.76 × 252.52
  4. Step 4: Simplify right side
    296.87x = 103,218.42
  5. Step 5: Solve for x
    x = 103,218.42/296.87
  6. Step 6: Final answer
    x = 347.69

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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.