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Finding the Fourth Proportional to 626.74, 864.88 and 346.97

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Solution

The fourth proportional to 626.74, 864.88 and 346.97 is: 478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.74 : 864.88 = 346.97 : x
  2. Step 2: Convert to fraction form
    626.74/864.88 = 346.97/x
  3. Step 3: Cross multiply
    626.74x = 864.88 × 346.97
  4. Step 4: Simplify right side
    626.74x = 300,083.84
  5. Step 5: Solve for x
    x = 300,083.84/626.74
  6. Step 6: Final answer
    x = 478.80

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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.