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Finding the Fourth Proportional to 343.47, 514.75 and 286.06

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Solution

The fourth proportional to 343.47, 514.75 and 286.06 is: 428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.47 : 514.75 = 286.06 : x
  2. Step 2: Convert to fraction form
    343.47/514.75 = 286.06/x
  3. Step 3: Cross multiply
    343.47x = 514.75 × 286.06
  4. Step 4: Simplify right side
    343.47x = 147,249.39
  5. Step 5: Solve for x
    x = 147,249.39/343.47
  6. Step 6: Final answer
    x = 428.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.