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Finding the Fourth Proportional to 330.97, 456.21 and 260.92

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Solution

The fourth proportional to 330.97, 456.21 and 260.92 is: 359.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.97 : 456.21 = 260.92 : x
  2. Step 2: Convert to fraction form
    330.97/456.21 = 260.92/x
  3. Step 3: Cross multiply
    330.97x = 456.21 × 260.92
  4. Step 4: Simplify right side
    330.97x = 119,034.31
  5. Step 5: Solve for x
    x = 119,034.31/330.97
  6. Step 6: Final answer
    x = 359.65

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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.