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Finding the Fourth Proportional to 483.12, 667.05 and 296.87

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Solution

The fourth proportional to 483.12, 667.05 and 296.87 is: 409.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.12 : 667.05 = 296.87 : x
  2. Step 2: Convert to fraction form
    483.12/667.05 = 296.87/x
  3. Step 3: Cross multiply
    483.12x = 667.05 × 296.87
  4. Step 4: Simplify right side
    483.12x = 198,023.80
  5. Step 5: Solve for x
    x = 198,023.80/483.12
  6. Step 6: Final answer
    x = 409.89

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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.