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Finding the Fourth Proportional to 494.42, 741.32 and 234.26

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Solution

The fourth proportional to 494.42, 741.32 and 234.26 is: 351.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.42 : 741.32 = 234.26 : x
  2. Step 2: Convert to fraction form
    494.42/741.32 = 234.26/x
  3. Step 3: Cross multiply
    494.42x = 741.32 × 234.26
  4. Step 4: Simplify right side
    494.42x = 173,660.45
  5. Step 5: Solve for x
    x = 173,660.45/494.42
  6. Step 6: Final answer
    x = 351.24

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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.