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Finding the Fourth Proportional to 483.44, 667.05 and 296.96

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Solution

The fourth proportional to 483.44, 667.05 and 296.96 is: 409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.44 : 667.05 = 296.96 : x
  2. Step 2: Convert to fraction form
    483.44/667.05 = 296.96/x
  3. Step 3: Cross multiply
    483.44x = 667.05 × 296.96
  4. Step 4: Simplify right side
    483.44x = 198,087.17
  5. Step 5: Solve for x
    x = 198,087.17/483.44
  6. Step 6: Final answer
    x = 409.75

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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.