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Finding the Fourth Proportional to 359.98, 495.72 and 322.31

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Solution

The fourth proportional to 359.98, 495.72 and 322.31 is: 443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.98 : 495.72 = 322.31 : x
  2. Step 2: Convert to fraction form
    359.98/495.72 = 322.31/x
  3. Step 3: Cross multiply
    359.98x = 495.72 × 322.31
  4. Step 4: Simplify right side
    359.98x = 159,776.75
  5. Step 5: Solve for x
    x = 159,776.75/359.98
  6. Step 6: Final answer
    x = 443.85

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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.