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Finding the Fourth Proportional to 264.28, 363.78 and 240.28

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Solution

The fourth proportional to 264.28, 363.78 and 240.28 is: 330.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.28 : 363.78 = 240.28 : x
  2. Step 2: Convert to fraction form
    264.28/363.78 = 240.28/x
  3. Step 3: Cross multiply
    264.28x = 363.78 × 240.28
  4. Step 4: Simplify right side
    264.28x = 87,409.06
  5. Step 5: Solve for x
    x = 87,409.06/264.28
  6. Step 6: Final answer
    x = 330.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.