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Finding the Fourth Proportional to 625.67, 863.45 and 415.48

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Solution

The fourth proportional to 625.67, 863.45 and 415.48 is: 573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.67 : 863.45 = 415.48 : x
  2. Step 2: Convert to fraction form
    625.67/863.45 = 415.48/x
  3. Step 3: Cross multiply
    625.67x = 863.45 × 415.48
  4. Step 4: Simplify right side
    625.67x = 358,745.99
  5. Step 5: Solve for x
    x = 358,745.99/625.67
  6. Step 6: Final answer
    x = 573.38

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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.