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Finding the Fourth Proportional to 626.27, 864.25 and 342.69

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Solution

The fourth proportional to 626.27, 864.25 and 342.69 is: 472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.27 : 864.25 = 342.69 : x
  2. Step 2: Convert to fraction form
    626.27/864.25 = 342.69/x
  3. Step 3: Cross multiply
    626.27x = 864.25 × 342.69
  4. Step 4: Simplify right side
    626.27x = 296,172.85
  5. Step 5: Solve for x
    x = 296,172.85/626.27
  6. Step 6: Final answer
    x = 472.92

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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.