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Finding the Fourth Proportional to 952.14, 1,428.36 and 335.88

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Solution

The fourth proportional to 952.14, 1,428.36 and 335.88 is: 503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.14 : 1,428.36 = 335.88 : x
  2. Step 2: Convert to fraction form
    952.14/1,428.36 = 335.88/x
  3. Step 3: Cross multiply
    952.14x = 1,428.36 × 335.88
  4. Step 4: Simplify right side
    952.14x = 479,757.56
  5. Step 5: Solve for x
    x = 479,757.56/952.14
  6. Step 6: Final answer
    x = 503.87

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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.