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Finding the Fourth Proportional to 358.99, 538.44 and 204.43

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Solution

The fourth proportional to 358.99, 538.44 and 204.43 is: 306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.99 : 538.44 = 204.43 : x
  2. Step 2: Convert to fraction form
    358.99/538.44 = 204.43/x
  3. Step 3: Cross multiply
    358.99x = 538.44 × 204.43
  4. Step 4: Simplify right side
    358.99x = 110,073.29
  5. Step 5: Solve for x
    x = 110,073.29/358.99
  6. Step 6: Final answer
    x = 306.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.