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Finding the Fourth Proportional to 625.53, 863.23 and 345.74

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Solution

The fourth proportional to 625.53, 863.23 and 345.74 is: 477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.53 : 863.23 = 345.74 : x
  2. Step 2: Convert to fraction form
    625.53/863.23 = 345.74/x
  3. Step 3: Cross multiply
    625.53x = 863.23 × 345.74
  4. Step 4: Simplify right side
    625.53x = 298,451.41
  5. Step 5: Solve for x
    x = 298,451.41/625.53
  6. Step 6: Final answer
    x = 477.12

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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.