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Finding the Fourth Proportional to 383.69, 575.44 and 109.79

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Solution

The fourth proportional to 383.69, 575.44 and 109.79 is: 164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.69 : 575.44 = 109.79 : x
  2. Step 2: Convert to fraction form
    383.69/575.44 = 109.79/x
  3. Step 3: Cross multiply
    383.69x = 575.44 × 109.79
  4. Step 4: Simplify right side
    383.69x = 63,174.95
  5. Step 5: Solve for x
    x = 63,174.95/383.69
  6. Step 6: Final answer
    x = 164.65

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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.