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Finding the Fourth Proportional to 330.76, 456.33 and 214.39

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Solution

The fourth proportional to 330.76, 456.33 and 214.39 is: 295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.76 : 456.33 = 214.39 : x
  2. Step 2: Convert to fraction form
    330.76/456.33 = 214.39/x
  3. Step 3: Cross multiply
    330.76x = 456.33 × 214.39
  4. Step 4: Simplify right side
    330.76x = 97,832.59
  5. Step 5: Solve for x
    x = 97,832.59/330.76
  6. Step 6: Final answer
    x = 295.78

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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.