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Finding the Fourth Proportional to 330.80, 456.26 and 214.24

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Solution

The fourth proportional to 330.80, 456.26 and 214.24 is: 295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.80 : 456.26 = 214.24 : x
  2. Step 2: Convert to fraction form
    330.80/456.26 = 214.24/x
  3. Step 3: Cross multiply
    330.80x = 456.26 × 214.24
  4. Step 4: Simplify right side
    330.80x = 97,749.14
  5. Step 5: Solve for x
    x = 97,749.14/330.80
  6. Step 6: Final answer
    x = 295.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.