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Finding the Fourth Proportional to 359.88, 538.80 and 279.66

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Solution

The fourth proportional to 359.88, 538.80 and 279.66 is: 418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.88 : 538.80 = 279.66 : x
  2. Step 2: Convert to fraction form
    359.88/538.80 = 279.66/x
  3. Step 3: Cross multiply
    359.88x = 538.80 × 279.66
  4. Step 4: Simplify right side
    359.88x = 150,680.81
  5. Step 5: Solve for x
    x = 150,680.81/359.88
  6. Step 6: Final answer
    x = 418.70

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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.