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Finding the Fourth Proportional to 968.44, 1,452.78 and 319.60

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Solution

The fourth proportional to 968.44, 1,452.78 and 319.60 is: 479.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.44 : 1,452.78 = 319.60 : x
  2. Step 2: Convert to fraction form
    968.44/1,452.78 = 319.60/x
  3. Step 3: Cross multiply
    968.44x = 1,452.78 × 319.60
  4. Step 4: Simplify right side
    968.44x = 464,308.49
  5. Step 5: Solve for x
    x = 464,308.49/968.44
  6. Step 6: Final answer
    x = 479.44

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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.