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Finding the Fourth Proportional to 477.87, 717.13 and 204.03

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Solution

The fourth proportional to 477.87, 717.13 and 204.03 is: 306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.87 : 717.13 = 204.03 : x
  2. Step 2: Convert to fraction form
    477.87/717.13 = 204.03/x
  3. Step 3: Cross multiply
    477.87x = 717.13 × 204.03
  4. Step 4: Simplify right side
    477.87x = 146,311.43
  5. Step 5: Solve for x
    x = 146,311.43/477.87
  6. Step 6: Final answer
    x = 306.17

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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.