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Finding the Fourth Proportional to 359.70, 495.24 and 304.32

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Solution

The fourth proportional to 359.70, 495.24 and 304.32 is: 418.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.70 : 495.24 = 304.32 : x
  2. Step 2: Convert to fraction form
    359.70/495.24 = 304.32/x
  3. Step 3: Cross multiply
    359.70x = 495.24 × 304.32
  4. Step 4: Simplify right side
    359.70x = 150,711.44
  5. Step 5: Solve for x
    x = 150,711.44/359.70
  6. Step 6: Final answer
    x = 418.99

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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.