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Finding the Fourth Proportional to 625.88, 863.76 and 377.26

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Solution

The fourth proportional to 625.88, 863.76 and 377.26 is: 520.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.88 : 863.76 = 377.26 : x
  2. Step 2: Convert to fraction form
    625.88/863.76 = 377.26/x
  3. Step 3: Cross multiply
    625.88x = 863.76 × 377.26
  4. Step 4: Simplify right side
    625.88x = 325,862.10
  5. Step 5: Solve for x
    x = 325,862.10/625.88
  6. Step 6: Final answer
    x = 520.65

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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.