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Finding the Fourth Proportional to 625.75, 863.54 and 349.75

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Solution

The fourth proportional to 625.75, 863.54 and 349.75 is: 482.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.75 : 863.54 = 349.75 : x
  2. Step 2: Convert to fraction form
    625.75/863.54 = 349.75/x
  3. Step 3: Cross multiply
    625.75x = 863.54 × 349.75
  4. Step 4: Simplify right side
    625.75x = 302,021.37
  5. Step 5: Solve for x
    x = 302,021.37/625.75
  6. Step 6: Final answer
    x = 482.66

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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.