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Finding the Fourth Proportional to 356.97, 493.97 and 304.43

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Solution

The fourth proportional to 356.97, 493.97 and 304.43 is: 421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.97 : 493.97 = 304.43 : x
  2. Step 2: Convert to fraction form
    356.97/493.97 = 304.43/x
  3. Step 3: Cross multiply
    356.97x = 493.97 × 304.43
  4. Step 4: Simplify right side
    356.97x = 150,380.14
  5. Step 5: Solve for x
    x = 150,380.14/356.97
  6. Step 6: Final answer
    x = 421.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.