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Finding the Fourth Proportional to 359.41, 538.41 and 204.86

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Solution

The fourth proportional to 359.41, 538.41 and 204.86 is: 306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.41 : 538.41 = 204.86 : x
  2. Step 2: Convert to fraction form
    359.41/538.41 = 204.86/x
  3. Step 3: Cross multiply
    359.41x = 538.41 × 204.86
  4. Step 4: Simplify right side
    359.41x = 110,300.02
  5. Step 5: Solve for x
    x = 110,300.02/359.41
  6. Step 6: Final answer
    x = 306.89

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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.