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Finding the Fourth Proportional to 483.57, 667.44 and 287.19

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Solution

The fourth proportional to 483.57, 667.44 and 287.19 is: 396.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.57 : 667.44 = 287.19 : x
  2. Step 2: Convert to fraction form
    483.57/667.44 = 287.19/x
  3. Step 3: Cross multiply
    483.57x = 667.44 × 287.19
  4. Step 4: Simplify right side
    483.57x = 191,682.09
  5. Step 5: Solve for x
    x = 191,682.09/483.57
  6. Step 6: Final answer
    x = 396.39

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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.