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Finding the Fourth Proportional to 564.40, 846.30 and 267.60

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Solution

The fourth proportional to 564.40, 846.30 and 267.60 is: 401.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.40 : 846.30 = 267.60 : x
  2. Step 2: Convert to fraction form
    564.40/846.30 = 267.60/x
  3. Step 3: Cross multiply
    564.40x = 846.30 × 267.60
  4. Step 4: Simplify right side
    564.40x = 226,469.88
  5. Step 5: Solve for x
    x = 226,469.88/564.40
  6. Step 6: Final answer
    x = 401.26

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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.