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Finding the Fourth Proportional to 383.70, 574.56 and 326.22

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Solution

The fourth proportional to 383.70, 574.56 and 326.22 is: 488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.70 : 574.56 = 326.22 : x
  2. Step 2: Convert to fraction form
    383.70/574.56 = 326.22/x
  3. Step 3: Cross multiply
    383.70x = 574.56 × 326.22
  4. Step 4: Simplify right side
    383.70x = 187,432.96
  5. Step 5: Solve for x
    x = 187,432.96/383.70
  6. Step 6: Final answer
    x = 488.49

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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.