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Finding the Fourth Proportional to 494.39, 741.06 and 263.14

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Solution

The fourth proportional to 494.39, 741.06 and 263.14 is: 394.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.39 : 741.06 = 263.14 : x
  2. Step 2: Convert to fraction form
    494.39/741.06 = 263.14/x
  3. Step 3: Cross multiply
    494.39x = 741.06 × 263.14
  4. Step 4: Simplify right side
    494.39x = 194,998.82
  5. Step 5: Solve for x
    x = 194,998.82/494.39
  6. Step 6: Final answer
    x = 394.42

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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.