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Finding the Fourth Proportional to 358.92, 538.02 and 204.80

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Solution

The fourth proportional to 358.92, 538.02 and 204.80 is: 306.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.92 : 538.02 = 204.80 : x
  2. Step 2: Convert to fraction form
    358.92/538.02 = 204.80/x
  3. Step 3: Cross multiply
    358.92x = 538.02 × 204.80
  4. Step 4: Simplify right side
    358.92x = 110,183.81
  5. Step 5: Solve for x
    x = 110,183.81/358.92
  6. Step 6: Final answer
    x = 306.99

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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.