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Finding the Fourth Proportional to 359.91, 538.84 and 282.15

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Solution

The fourth proportional to 359.91, 538.84 and 282.15 is: 422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.91 : 538.84 = 282.15 : x
  2. Step 2: Convert to fraction form
    359.91/538.84 = 282.15/x
  3. Step 3: Cross multiply
    359.91x = 538.84 × 282.15
  4. Step 4: Simplify right side
    359.91x = 152,033.71
  5. Step 5: Solve for x
    x = 152,033.71/359.91
  6. Step 6: Final answer
    x = 422.42

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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.