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Finding the Fourth Proportional to 350.35, 524.09 and 329.61

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Solution

The fourth proportional to 350.35, 524.09 and 329.61 is: 493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.35 : 524.09 = 329.61 : x
  2. Step 2: Convert to fraction form
    350.35/524.09 = 329.61/x
  3. Step 3: Cross multiply
    350.35x = 524.09 × 329.61
  4. Step 4: Simplify right side
    350.35x = 172,748.09
  5. Step 5: Solve for x
    x = 172,748.09/350.35
  6. Step 6: Final answer
    x = 493.08

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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.