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Finding the Fourth Proportional to 465.22, 641.78 and 325.66

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Solution

The fourth proportional to 465.22, 641.78 and 325.66 is: 449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.22 : 641.78 = 325.66 : x
  2. Step 2: Convert to fraction form
    465.22/641.78 = 325.66/x
  3. Step 3: Cross multiply
    465.22x = 641.78 × 325.66
  4. Step 4: Simplify right side
    465.22x = 209,002.07
  5. Step 5: Solve for x
    x = 209,002.07/465.22
  6. Step 6: Final answer
    x = 449.25

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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.