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Finding the Fourth Proportional to 624.83, 861.98 and 376.00

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Solution

The fourth proportional to 624.83, 861.98 and 376.00 is: 518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.83 : 861.98 = 376.00 : x
  2. Step 2: Convert to fraction form
    624.83/861.98 = 376.00/x
  3. Step 3: Cross multiply
    624.83x = 861.98 × 376.00
  4. Step 4: Simplify right side
    624.83x = 324,103.27
  5. Step 5: Solve for x
    x = 324,103.27/624.83
  6. Step 6: Final answer
    x = 518.71

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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.