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Finding the Fourth Proportional to 330.99, 456.48 and 232.71

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Solution

The fourth proportional to 330.99, 456.48 and 232.71 is: 320.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.99 : 456.48 = 232.71 : x
  2. Step 2: Convert to fraction form
    330.99/456.48 = 232.71/x
  3. Step 3: Cross multiply
    330.99x = 456.48 × 232.71
  4. Step 4: Simplify right side
    330.99x = 106,227.46
  5. Step 5: Solve for x
    x = 106,227.46/330.99
  6. Step 6: Final answer
    x = 320.94

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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.