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Finding the Fourth Proportional to 626.09, 863.98 and 346.32

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Solution

The fourth proportional to 626.09, 863.98 and 346.32 is: 477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.09 : 863.98 = 346.32 : x
  2. Step 2: Convert to fraction form
    626.09/863.98 = 346.32/x
  3. Step 3: Cross multiply
    626.09x = 863.98 × 346.32
  4. Step 4: Simplify right side
    626.09x = 299,212.69
  5. Step 5: Solve for x
    x = 299,212.69/626.09
  6. Step 6: Final answer
    x = 477.91

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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.