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Finding the Fourth Proportional to 330.88, 456.42 and 214.51

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Solution

The fourth proportional to 330.88, 456.42 and 214.51 is: 295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.88 : 456.42 = 214.51 : x
  2. Step 2: Convert to fraction form
    330.88/456.42 = 214.51/x
  3. Step 3: Cross multiply
    330.88x = 456.42 × 214.51
  4. Step 4: Simplify right side
    330.88x = 97,906.65
  5. Step 5: Solve for x
    x = 97,906.65/330.88
  6. Step 6: Final answer
    x = 295.90

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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.