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Finding the Fourth Proportional to 264.27, 398.89 and 264.27

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Solution

The fourth proportional to 264.27, 398.89 and 264.27 is: 398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.27 : 398.89 = 264.27 : x
  2. Step 2: Convert to fraction form
    264.27/398.89 = 264.27/x
  3. Step 3: Cross multiply
    264.27x = 398.89 × 264.27
  4. Step 4: Simplify right side
    264.27x = 105,414.66
  5. Step 5: Solve for x
    x = 105,414.66/264.27
  6. Step 6: Final answer
    x = 398.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.