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Finding the Fourth Proportional to 319, 440.39 and 220.60

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Solution

The fourth proportional to 319, 440.39 and 220.60 is: 304.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    319 : 440.39 = 220.60 : x
  2. Step 2: Convert to fraction form
    319/440.39 = 220.60/x
  3. Step 3: Cross multiply
    319x = 440.39 × 220.60
  4. Step 4: Simplify right side
    319x = 97,150.03
  5. Step 5: Solve for x
    x = 97,150.03/319
  6. Step 6: Final answer
    x = 304.55

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Why These Related Problems?

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