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Finding the Fourth Proportional to 383.54, 575.51 and 267.84

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Solution

The fourth proportional to 383.54, 575.51 and 267.84 is: 401.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.54 : 575.51 = 267.84 : x
  2. Step 2: Convert to fraction form
    383.54/575.51 = 267.84/x
  3. Step 3: Cross multiply
    383.54x = 575.51 × 267.84
  4. Step 4: Simplify right side
    383.54x = 154,143.26
  5. Step 5: Solve for x
    x = 154,143.26/383.54
  6. Step 6: Final answer
    x = 401.90

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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.