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Finding the Fourth Proportional to 350.43, 524.95 and 268.87

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Solution

The fourth proportional to 350.43, 524.95 and 268.87 is: 402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.43 : 524.95 = 268.87 : x
  2. Step 2: Convert to fraction form
    350.43/524.95 = 268.87/x
  3. Step 3: Cross multiply
    350.43x = 524.95 × 268.87
  4. Step 4: Simplify right side
    350.43x = 141,143.31
  5. Step 5: Solve for x
    x = 141,143.31/350.43
  6. Step 6: Final answer
    x = 402.78

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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.