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Finding the Fourth Proportional to 625.69, 863.48 and 345.97

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Solution

The fourth proportional to 625.69, 863.48 and 345.97 is: 477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.69 : 863.48 = 345.97 : x
  2. Step 2: Convert to fraction form
    625.69/863.48 = 345.97/x
  3. Step 3: Cross multiply
    625.69x = 863.48 × 345.97
  4. Step 4: Simplify right side
    625.69x = 298,733.86
  5. Step 5: Solve for x
    x = 298,733.86/625.69
  6. Step 6: Final answer
    x = 477.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.