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Finding the Fourth Proportional to 624.37, 861.43 and 362.33

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Solution

The fourth proportional to 624.37, 861.43 and 362.33 is: 499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.37 : 861.43 = 362.33 : x
  2. Step 2: Convert to fraction form
    624.37/861.43 = 362.33/x
  3. Step 3: Cross multiply
    624.37x = 861.43 × 362.33
  4. Step 4: Simplify right side
    624.37x = 312,121.93
  5. Step 5: Solve for x
    x = 312,121.93/624.37
  6. Step 6: Final answer
    x = 499.90

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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.