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Finding the Fourth Proportional to 564.14, 846.14 and 267.58

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Solution

The fourth proportional to 564.14, 846.14 and 267.58 is: 401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.14 : 846.14 = 267.58 : x
  2. Step 2: Convert to fraction form
    564.14/846.14 = 267.58/x
  3. Step 3: Cross multiply
    564.14x = 846.14 × 267.58
  4. Step 4: Simplify right side
    564.14x = 226,410.14
  5. Step 5: Solve for x
    x = 226,410.14/564.14
  6. Step 6: Final answer
    x = 401.34

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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.