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Finding the Fourth Proportional to 330.09, 455.09 and 270.86

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Solution

The fourth proportional to 330.09, 455.09 and 270.86 is: 373.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.09 : 455.09 = 270.86 : x
  2. Step 2: Convert to fraction form
    330.09/455.09 = 270.86/x
  3. Step 3: Cross multiply
    330.09x = 455.09 × 270.86
  4. Step 4: Simplify right side
    330.09x = 123,265.68
  5. Step 5: Solve for x
    x = 123,265.68/330.09
  6. Step 6: Final answer
    x = 373.43

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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.