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Finding the Fourth Proportional to 383.32, 574.90 and 109.34

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Solution

The fourth proportional to 383.32, 574.90 and 109.34 is: 163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.32 : 574.90 = 109.34 : x
  2. Step 2: Convert to fraction form
    383.32/574.90 = 109.34/x
  3. Step 3: Cross multiply
    383.32x = 574.90 × 109.34
  4. Step 4: Simplify right side
    383.32x = 62,859.57
  5. Step 5: Solve for x
    x = 62,859.57/383.32
  6. Step 6: Final answer
    x = 163.99

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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.