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Finding the Fourth Proportional to 359.97, 537.30 and 333.92

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Solution

The fourth proportional to 359.97, 537.30 and 333.92 is: 498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.97 : 537.30 = 333.92 : x
  2. Step 2: Convert to fraction form
    359.97/537.30 = 333.92/x
  3. Step 3: Cross multiply
    359.97x = 537.30 × 333.92
  4. Step 4: Simplify right side
    359.97x = 179,415.22
  5. Step 5: Solve for x
    x = 179,415.22/359.97
  6. Step 6: Final answer
    x = 498.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.