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Finding the Fourth Proportional to 319.24, 440.34 and 220.84

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Solution

The fourth proportional to 319.24, 440.34 and 220.84 is: 304.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.24 : 440.34 = 220.84 : x
  2. Step 2: Convert to fraction form
    319.24/440.34 = 220.84/x
  3. Step 3: Cross multiply
    319.24x = 440.34 × 220.84
  4. Step 4: Simplify right side
    319.24x = 97,244.69
  5. Step 5: Solve for x
    x = 97,244.69/319.24
  6. Step 6: Final answer
    x = 304.61

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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.