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Finding the Fourth Proportional to 626.77, 864.84 and 347.02

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Solution

The fourth proportional to 626.77, 864.84 and 347.02 is: 478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.77 : 864.84 = 347.02 : x
  2. Step 2: Convert to fraction form
    626.77/864.84 = 347.02/x
  3. Step 3: Cross multiply
    626.77x = 864.84 × 347.02
  4. Step 4: Simplify right side
    626.77x = 300,115.92
  5. Step 5: Solve for x
    x = 300,115.92/626.77
  6. Step 6: Final answer
    x = 478.83

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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.