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Finding the Fourth Proportional to 330.71, 456.35 and 190.79

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Solution

The fourth proportional to 330.71, 456.35 and 190.79 is: 263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.71 : 456.35 = 190.79 : x
  2. Step 2: Convert to fraction form
    330.71/456.35 = 190.79/x
  3. Step 3: Cross multiply
    330.71x = 456.35 × 190.79
  4. Step 4: Simplify right side
    330.71x = 87,067.69
  5. Step 5: Solve for x
    x = 87,067.69/330.71
  6. Step 6: Final answer
    x = 263.28

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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.