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Finding the Fourth Proportional to 624.73, 861.96 and 403.60

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Solution

The fourth proportional to 624.73, 861.96 and 403.60 is: 556.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.73 : 861.96 = 403.60 : x
  2. Step 2: Convert to fraction form
    624.73/861.96 = 403.60/x
  3. Step 3: Cross multiply
    624.73x = 861.96 × 403.60
  4. Step 4: Simplify right side
    624.73x = 347,887.06
  5. Step 5: Solve for x
    x = 347,887.06/624.73
  6. Step 6: Final answer
    x = 556.86

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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.