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Finding the Fourth Proportional to 358.43, 538.14 and 229.23

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Solution

The fourth proportional to 358.43, 538.14 and 229.23 is: 344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.43 : 538.14 = 229.23 : x
  2. Step 2: Convert to fraction form
    358.43/538.14 = 229.23/x
  3. Step 3: Cross multiply
    358.43x = 538.14 × 229.23
  4. Step 4: Simplify right side
    358.43x = 123,357.83
  5. Step 5: Solve for x
    x = 123,357.83/358.43
  6. Step 6: Final answer
    x = 344.17

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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.