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Finding the Fourth Proportional to 267.72, 399.40 and 260.94

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Solution

The fourth proportional to 267.72, 399.40 and 260.94 is: 389.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.72 : 399.40 = 260.94 : x
  2. Step 2: Convert to fraction form
    267.72/399.40 = 260.94/x
  3. Step 3: Cross multiply
    267.72x = 399.40 × 260.94
  4. Step 4: Simplify right side
    267.72x = 104,216.13
  5. Step 5: Solve for x
    x = 104,216.13/267.72
  6. Step 6: Final answer
    x = 389.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.