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Finding the Fourth Proportional to 625.82, 863.73 and 364.05

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Solution

The fourth proportional to 625.82, 863.73 and 364.05 is: 502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.82 : 863.73 = 364.05 : x
  2. Step 2: Convert to fraction form
    625.82/863.73 = 364.05/x
  3. Step 3: Cross multiply
    625.82x = 863.73 × 364.05
  4. Step 4: Simplify right side
    625.82x = 314,440.91
  5. Step 5: Solve for x
    x = 314,440.91/625.82
  6. Step 6: Final answer
    x = 502.45

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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.