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Finding the Fourth Proportional to 330.23, 455.42 and 241.91

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Solution

The fourth proportional to 330.23, 455.42 and 241.91 is: 333.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.23 : 455.42 = 241.91 : x
  2. Step 2: Convert to fraction form
    330.23/455.42 = 241.91/x
  3. Step 3: Cross multiply
    330.23x = 455.42 × 241.91
  4. Step 4: Simplify right side
    330.23x = 110,167.17
  5. Step 5: Solve for x
    x = 110,167.17/330.23
  6. Step 6: Final answer
    x = 333.61

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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.