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Finding the Fourth Proportional to 624.19, 861.37 and 362.23

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Solution

The fourth proportional to 624.19, 861.37 and 362.23 is: 499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.19 : 861.37 = 362.23 : x
  2. Step 2: Convert to fraction form
    624.19/861.37 = 362.23/x
  3. Step 3: Cross multiply
    624.19x = 861.37 × 362.23
  4. Step 4: Simplify right side
    624.19x = 312,014.06
  5. Step 5: Solve for x
    x = 312,014.06/624.19
  6. Step 6: Final answer
    x = 499.87

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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.