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Finding the Fourth Proportional to 466.54, 643.15 and 326.22

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Solution

The fourth proportional to 466.54, 643.15 and 326.22 is: 449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.54 : 643.15 = 326.22 : x
  2. Step 2: Convert to fraction form
    466.54/643.15 = 326.22/x
  3. Step 3: Cross multiply
    466.54x = 643.15 × 326.22
  4. Step 4: Simplify right side
    466.54x = 209,806.76
  5. Step 5: Solve for x
    x = 209,806.76/466.54
  6. Step 6: Final answer
    x = 449.71

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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.