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Finding the Fourth Proportional to 626.00, 863.87 and 346.23

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Solution

The fourth proportional to 626.00, 863.87 and 346.23 is: 477.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.00 : 863.87 = 346.23 : x
  2. Step 2: Convert to fraction form
    626.00/863.87 = 346.23/x
  3. Step 3: Cross multiply
    626.00x = 863.87 × 346.23
  4. Step 4: Simplify right side
    626.00x = 299,095.98
  5. Step 5: Solve for x
    x = 299,095.98/626.00
  6. Step 6: Final answer
    x = 477.79

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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.