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Finding the Fourth Proportional to 427.23, 641.70 and 336.69

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Solution

The fourth proportional to 427.23, 641.70 and 336.69 is: 505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.23 : 641.70 = 336.69 : x
  2. Step 2: Convert to fraction form
    427.23/641.70 = 336.69/x
  3. Step 3: Cross multiply
    427.23x = 641.70 × 336.69
  4. Step 4: Simplify right side
    427.23x = 216,053.97
  5. Step 5: Solve for x
    x = 216,053.97/427.23
  6. Step 6: Final answer
    x = 505.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.