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Finding the Fourth Proportional to 383.45, 575.19 and 109.58

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Solution

The fourth proportional to 383.45, 575.19 and 109.58 is: 164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.45 : 575.19 = 109.58 : x
  2. Step 2: Convert to fraction form
    383.45/575.19 = 109.58/x
  3. Step 3: Cross multiply
    383.45x = 575.19 × 109.58
  4. Step 4: Simplify right side
    383.45x = 63,029.95
  5. Step 5: Solve for x
    x = 63,029.95/383.45
  6. Step 6: Final answer
    x = 164.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.