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Finding the Fourth Proportional to 625.25, 862.81 and 345.43

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Solution

The fourth proportional to 625.25, 862.81 and 345.43 is: 476.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.25 : 862.81 = 345.43 : x
  2. Step 2: Convert to fraction form
    625.25/862.81 = 345.43/x
  3. Step 3: Cross multiply
    625.25x = 862.81 × 345.43
  4. Step 4: Simplify right side
    625.25x = 298,040.46
  5. Step 5: Solve for x
    x = 298,040.46/625.25
  6. Step 6: Final answer
    x = 476.67

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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.