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Finding the Fourth Proportional to 334.38, 501.66 and 286.56

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Solution

The fourth proportional to 334.38, 501.66 and 286.56 is: 429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.38 : 501.66 = 286.56 : x
  2. Step 2: Convert to fraction form
    334.38/501.66 = 286.56/x
  3. Step 3: Cross multiply
    334.38x = 501.66 × 286.56
  4. Step 4: Simplify right side
    334.38x = 143,755.69
  5. Step 5: Solve for x
    x = 143,755.69/334.38
  6. Step 6: Final answer
    x = 429.92

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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.