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Finding the Fourth Proportional to 383.34, 574.94 and 109.37

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Solution

The fourth proportional to 383.34, 574.94 and 109.37 is: 164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.34 : 574.94 = 109.37 : x
  2. Step 2: Convert to fraction form
    383.34/574.94 = 109.37/x
  3. Step 3: Cross multiply
    383.34x = 574.94 × 109.37
  4. Step 4: Simplify right side
    383.34x = 62,877.77
  5. Step 5: Solve for x
    x = 62,877.77/383.34
  6. Step 6: Final answer
    x = 164.03

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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.