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Finding the Fourth Proportional to 264.44, 362.78 and 252.30

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Solution

The fourth proportional to 264.44, 362.78 and 252.30 is: 346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.44 : 362.78 = 252.30 : x
  2. Step 2: Convert to fraction form
    264.44/362.78 = 252.30/x
  3. Step 3: Cross multiply
    264.44x = 362.78 × 252.30
  4. Step 4: Simplify right side
    264.44x = 91,529.39
  5. Step 5: Solve for x
    x = 91,529.39/264.44
  6. Step 6: Final answer
    x = 346.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.