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Finding the Fourth Proportional to 483.65, 667.49 and 287.16

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Solution

The fourth proportional to 483.65, 667.49 and 287.16 is: 396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.65 : 667.49 = 287.16 : x
  2. Step 2: Convert to fraction form
    483.65/667.49 = 287.16/x
  3. Step 3: Cross multiply
    483.65x = 667.49 × 287.16
  4. Step 4: Simplify right side
    483.65x = 191,675.04
  5. Step 5: Solve for x
    x = 191,675.04/483.65
  6. Step 6: Final answer
    x = 396.31

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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.