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Finding the Fourth Proportional to 358.94, 538.74 and 204.83

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Solution

The fourth proportional to 358.94, 538.74 and 204.83 is: 307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.94 : 538.74 = 204.83 : x
  2. Step 2: Convert to fraction form
    358.94/538.74 = 204.83/x
  3. Step 3: Cross multiply
    358.94x = 538.74 × 204.83
  4. Step 4: Simplify right side
    358.94x = 110,350.11
  5. Step 5: Solve for x
    x = 110,350.11/358.94
  6. Step 6: Final answer
    x = 307.44

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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.