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Finding the Fourth Proportional to 343.59, 514.78 and 286.18

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Solution

The fourth proportional to 343.59, 514.78 and 286.18 is: 428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.59 : 514.78 = 286.18 : x
  2. Step 2: Convert to fraction form
    343.59/514.78 = 286.18/x
  3. Step 3: Cross multiply
    343.59x = 514.78 × 286.18
  4. Step 4: Simplify right side
    343.59x = 147,317.74
  5. Step 5: Solve for x
    x = 147,317.74/343.59
  6. Step 6: Final answer
    x = 428.76

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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.