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Finding the Fourth Proportional to 477.92, 717.14 and 203.99

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Solution

The fourth proportional to 477.92, 717.14 and 203.99 is: 306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.92 : 717.14 = 203.99 : x
  2. Step 2: Convert to fraction form
    477.92/717.14 = 203.99/x
  3. Step 3: Cross multiply
    477.92x = 717.14 × 203.99
  4. Step 4: Simplify right side
    477.92x = 146,286.31
  5. Step 5: Solve for x
    x = 146,286.31/477.92
  6. Step 6: Final answer
    x = 306.09

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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.