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Finding the Fourth Proportional to 330.50, 456.41 and 214.13

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Solution

The fourth proportional to 330.50, 456.41 and 214.13 is: 295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.50 : 456.41 = 214.13 : x
  2. Step 2: Convert to fraction form
    330.50/456.41 = 214.13/x
  3. Step 3: Cross multiply
    330.50x = 456.41 × 214.13
  4. Step 4: Simplify right side
    330.50x = 97,729.33
  5. Step 5: Solve for x
    x = 97,729.33/330.50
  6. Step 6: Final answer
    x = 295.71

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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.