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Finding the Fourth Proportional to 264.44, 394.35 and 252.02

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Solution

The fourth proportional to 264.44, 394.35 and 252.02 is: 375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.44 : 394.35 = 252.02 : x
  2. Step 2: Convert to fraction form
    264.44/394.35 = 252.02/x
  3. Step 3: Cross multiply
    264.44x = 394.35 × 252.02
  4. Step 4: Simplify right side
    264.44x = 99,384.09
  5. Step 5: Solve for x
    x = 99,384.09/264.44
  6. Step 6: Final answer
    x = 375.83

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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.