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Finding the Fourth Proportional to 264.24, 398.34 and 243.36

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Solution

The fourth proportional to 264.24, 398.34 and 243.36 is: 366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.24 : 398.34 = 243.36 : x
  2. Step 2: Convert to fraction form
    264.24/398.34 = 243.36/x
  3. Step 3: Cross multiply
    264.24x = 398.34 × 243.36
  4. Step 4: Simplify right side
    264.24x = 96,940.02
  5. Step 5: Solve for x
    x = 96,940.02/264.24
  6. Step 6: Final answer
    x = 366.86

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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.