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Finding the Fourth Proportional to 320.44, 479.85 and 229.72

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Solution

The fourth proportional to 320.44, 479.85 and 229.72 is: 344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.44 : 479.85 = 229.72 : x
  2. Step 2: Convert to fraction form
    320.44/479.85 = 229.72/x
  3. Step 3: Cross multiply
    320.44x = 479.85 × 229.72
  4. Step 4: Simplify right side
    320.44x = 110,231.14
  5. Step 5: Solve for x
    x = 110,231.14/320.44
  6. Step 6: Final answer
    x = 344.00

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