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Finding the Fourth Proportional to 359.66, 538.61 and 282.43

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Solution

The fourth proportional to 359.66, 538.61 and 282.43 is: 422.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.66 : 538.61 = 282.43 : x
  2. Step 2: Convert to fraction form
    359.66/538.61 = 282.43/x
  3. Step 3: Cross multiply
    359.66x = 538.61 × 282.43
  4. Step 4: Simplify right side
    359.66x = 152,118.70
  5. Step 5: Solve for x
    x = 152,118.70/359.66
  6. Step 6: Final answer
    x = 422.95

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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.