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Finding the Fourth Proportional to 625.16, 862.53 and 363.16

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Solution

The fourth proportional to 625.16, 862.53 and 363.16 is: 501.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.16 : 862.53 = 363.16 : x
  2. Step 2: Convert to fraction form
    625.16/862.53 = 363.16/x
  3. Step 3: Cross multiply
    625.16x = 862.53 × 363.16
  4. Step 4: Simplify right side
    625.16x = 313,236.39
  5. Step 5: Solve for x
    x = 313,236.39/625.16
  6. Step 6: Final answer
    x = 501.05

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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.