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Finding the Fourth Proportional to 625.98, 863.82 and 346.20

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Solution

The fourth proportional to 625.98, 863.82 and 346.20 is: 477.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.98 : 863.82 = 346.20 : x
  2. Step 2: Convert to fraction form
    625.98/863.82 = 346.20/x
  3. Step 3: Cross multiply
    625.98x = 863.82 × 346.20
  4. Step 4: Simplify right side
    625.98x = 299,054.48
  5. Step 5: Solve for x
    x = 299,054.48/625.98
  6. Step 6: Final answer
    x = 477.74

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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.