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Finding the Fourth Proportional to 626.56, 864.74 and 477.38

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Solution

The fourth proportional to 626.56, 864.74 and 477.38 is: 658.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.56 : 864.74 = 477.38 : x
  2. Step 2: Convert to fraction form
    626.56/864.74 = 477.38/x
  3. Step 3: Cross multiply
    626.56x = 864.74 × 477.38
  4. Step 4: Simplify right side
    626.56x = 412,809.71
  5. Step 5: Solve for x
    x = 412,809.71/626.56
  6. Step 6: Final answer
    x = 658.85

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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.