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Finding the Fourth Proportional to 349.26, 523.22 and 263.16

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Solution

The fourth proportional to 349.26, 523.22 and 263.16 is: 394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.26 : 523.22 = 263.16 : x
  2. Step 2: Convert to fraction form
    349.26/523.22 = 263.16/x
  3. Step 3: Cross multiply
    349.26x = 523.22 × 263.16
  4. Step 4: Simplify right side
    349.26x = 137,689.26
  5. Step 5: Solve for x
    x = 137,689.26/349.26
  6. Step 6: Final answer
    x = 394.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.