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Finding the Fourth Proportional to 330.90, 456.89 and 220.64

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Solution

The fourth proportional to 330.90, 456.89 and 220.64 is: 304.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.90 : 456.89 = 220.64 : x
  2. Step 2: Convert to fraction form
    330.90/456.89 = 220.64/x
  3. Step 3: Cross multiply
    330.90x = 456.89 × 220.64
  4. Step 4: Simplify right side
    330.90x = 100,808.63
  5. Step 5: Solve for x
    x = 100,808.63/330.90
  6. Step 6: Final answer
    x = 304.65

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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.