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Finding the Fourth Proportional to 343.86, 515.01 and 286.26

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Solution

The fourth proportional to 343.86, 515.01 and 286.26 is: 428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.86 : 515.01 = 286.26 : x
  2. Step 2: Convert to fraction form
    343.86/515.01 = 286.26/x
  3. Step 3: Cross multiply
    343.86x = 515.01 × 286.26
  4. Step 4: Simplify right side
    343.86x = 147,426.76
  5. Step 5: Solve for x
    x = 147,426.76/343.86
  6. Step 6: Final answer
    x = 428.74

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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.