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Finding the Fourth Proportional to 626.75, 864.91 and 347.02

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Solution

The fourth proportional to 626.75, 864.91 and 347.02 is: 478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.75 : 864.91 = 347.02 : x
  2. Step 2: Convert to fraction form
    626.75/864.91 = 347.02/x
  3. Step 3: Cross multiply
    626.75x = 864.91 × 347.02
  4. Step 4: Simplify right side
    626.75x = 300,137.61
  5. Step 5: Solve for x
    x = 300,137.61/626.75
  6. Step 6: Final answer
    x = 478.88

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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.