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Finding the Fourth Proportional to 492.27, 679.64 and 326.63

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Solution

The fourth proportional to 492.27, 679.64 and 326.63 is: 450.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.27 : 679.64 = 326.63 : x
  2. Step 2: Convert to fraction form
    492.27/679.64 = 326.63/x
  3. Step 3: Cross multiply
    492.27x = 679.64 × 326.63
  4. Step 4: Simplify right side
    492.27x = 221,985.78
  5. Step 5: Solve for x
    x = 221,985.78/492.27
  6. Step 6: Final answer
    x = 450.94

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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.