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Finding the Fourth Proportional to 493.82, 741.17 and 262.90

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Solution

The fourth proportional to 493.82, 741.17 and 262.90 is: 394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.82 : 741.17 = 262.90 : x
  2. Step 2: Convert to fraction form
    493.82/741.17 = 262.90/x
  3. Step 3: Cross multiply
    493.82x = 741.17 × 262.90
  4. Step 4: Simplify right side
    493.82x = 194,852.07
  5. Step 5: Solve for x
    x = 194,852.07/493.82
  6. Step 6: Final answer
    x = 394.59

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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.