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Finding the Fourth Proportional to 625.85, 863.67 and 360.34

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Solution

The fourth proportional to 625.85, 863.67 and 360.34 is: 497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.85 : 863.67 = 360.34 : x
  2. Step 2: Convert to fraction form
    625.85/863.67 = 360.34/x
  3. Step 3: Cross multiply
    625.85x = 863.67 × 360.34
  4. Step 4: Simplify right side
    625.85x = 311,214.85
  5. Step 5: Solve for x
    x = 311,214.85/625.85
  6. Step 6: Final answer
    x = 497.27

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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.