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Finding the Fourth Proportional to 383.34, 574.80 and 261.75

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Solution

The fourth proportional to 383.34, 574.80 and 261.75 is: 392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.34 : 574.80 = 261.75 : x
  2. Step 2: Convert to fraction form
    383.34/574.80 = 261.75/x
  3. Step 3: Cross multiply
    383.34x = 574.80 × 261.75
  4. Step 4: Simplify right side
    383.34x = 150,453.90
  5. Step 5: Solve for x
    x = 150,453.90/383.34
  6. Step 6: Final answer
    x = 392.48

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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.