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Finding the Fourth Proportional to 465.80, 641.34 and 395.72

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Solution

The fourth proportional to 465.80, 641.34 and 395.72 is: 544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.80 : 641.34 = 395.72 : x
  2. Step 2: Convert to fraction form
    465.80/641.34 = 395.72/x
  3. Step 3: Cross multiply
    465.80x = 641.34 × 395.72
  4. Step 4: Simplify right side
    465.80x = 253,791.06
  5. Step 5: Solve for x
    x = 253,791.06/465.80
  6. Step 6: Final answer
    x = 544.85

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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.