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Finding the Fourth Proportional to 350.76, 527.22 and 326.46

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Solution

The fourth proportional to 350.76, 527.22 and 326.46 is: 490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.76 : 527.22 = 326.46 : x
  2. Step 2: Convert to fraction form
    350.76/527.22 = 326.46/x
  3. Step 3: Cross multiply
    350.76x = 527.22 × 326.46
  4. Step 4: Simplify right side
    350.76x = 172,116.24
  5. Step 5: Solve for x
    x = 172,116.24/350.76
  6. Step 6: Final answer
    x = 490.70

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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.