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Finding the Fourth Proportional to 452.88, 625.24 and 287.24

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Solution

The fourth proportional to 452.88, 625.24 and 287.24 is: 396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.88 : 625.24 = 287.24 : x
  2. Step 2: Convert to fraction form
    452.88/625.24 = 287.24/x
  3. Step 3: Cross multiply
    452.88x = 625.24 × 287.24
  4. Step 4: Simplify right side
    452.88x = 179,593.94
  5. Step 5: Solve for x
    x = 179,593.94/452.88
  6. Step 6: Final answer
    x = 396.56

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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.