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Finding the Fourth Proportional to 264.46, 394.92 and 249.28

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Solution

The fourth proportional to 264.46, 394.92 and 249.28 is: 372.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.46 : 394.92 = 249.28 : x
  2. Step 2: Convert to fraction form
    264.46/394.92 = 249.28/x
  3. Step 3: Cross multiply
    264.46x = 394.92 × 249.28
  4. Step 4: Simplify right side
    264.46x = 98,445.66
  5. Step 5: Solve for x
    x = 98,445.66/264.46
  6. Step 6: Final answer
    x = 372.25

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Why These Related Problems?

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