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Finding the Fourth Proportional to 359.50, 496.30 and 219.65

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Solution

The fourth proportional to 359.50, 496.30 and 219.65 is: 303.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.50 : 496.30 = 219.65 : x
  2. Step 2: Convert to fraction form
    359.50/496.30 = 219.65/x
  3. Step 3: Cross multiply
    359.50x = 496.30 × 219.65
  4. Step 4: Simplify right side
    359.50x = 109,009.81
  5. Step 5: Solve for x
    x = 109,009.81/359.50
  6. Step 6: Final answer
    x = 303.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.