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Finding the Fourth Proportional to 330.76, 456.47 and 199.79

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Solution

The fourth proportional to 330.76, 456.47 and 199.79 is: 275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.76 : 456.47 = 199.79 : x
  2. Step 2: Convert to fraction form
    330.76/456.47 = 199.79/x
  3. Step 3: Cross multiply
    330.76x = 456.47 × 199.79
  4. Step 4: Simplify right side
    330.76x = 91,198.14
  5. Step 5: Solve for x
    x = 91,198.14/330.76
  6. Step 6: Final answer
    x = 275.72

Related Problems

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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.