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Finding the Fourth Proportional to 350.26, 524.16 and 330.52

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Solution

The fourth proportional to 350.26, 524.16 and 330.52 is: 494.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.26 : 524.16 = 330.52 : x
  2. Step 2: Convert to fraction form
    350.26/524.16 = 330.52/x
  3. Step 3: Cross multiply
    350.26x = 524.16 × 330.52
  4. Step 4: Simplify right side
    350.26x = 173,245.36
  5. Step 5: Solve for x
    x = 173,245.36/350.26
  6. Step 6: Final answer
    x = 494.62

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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.