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Finding the Fourth Proportional to 465.21, 641.98 and 255.38

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Solution

The fourth proportional to 465.21, 641.98 and 255.38 is: 352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.21 : 641.98 = 255.38 : x
  2. Step 2: Convert to fraction form
    465.21/641.98 = 255.38/x
  3. Step 3: Cross multiply
    465.21x = 641.98 × 255.38
  4. Step 4: Simplify right side
    465.21x = 163,948.85
  5. Step 5: Solve for x
    x = 163,948.85/465.21
  6. Step 6: Final answer
    x = 352.42

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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.