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Finding the Fourth Proportional to 359.91, 538.52 and 213.75

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Solution

The fourth proportional to 359.91, 538.52 and 213.75 is: 319.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.91 : 538.52 = 213.75 : x
  2. Step 2: Convert to fraction form
    359.91/538.52 = 213.75/x
  3. Step 3: Cross multiply
    359.91x = 538.52 × 213.75
  4. Step 4: Simplify right side
    359.91x = 115,107.58
  5. Step 5: Solve for x
    x = 115,107.58/359.91
  6. Step 6: Final answer
    x = 319.82

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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.