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Finding the Fourth Proportional to 297.30, 446.08 and 220.64

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Solution

The fourth proportional to 297.30, 446.08 and 220.64 is: 331.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.30 : 446.08 = 220.64 : x
  2. Step 2: Convert to fraction form
    297.30/446.08 = 220.64/x
  3. Step 3: Cross multiply
    297.30x = 446.08 × 220.64
  4. Step 4: Simplify right side
    297.30x = 98,423.09
  5. Step 5: Solve for x
    x = 98,423.09/297.30
  6. Step 6: Final answer
    x = 331.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.