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Finding the Fourth Proportional to 492.05, 678.29 and 325.97

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Solution

The fourth proportional to 492.05, 678.29 and 325.97 is: 449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.05 : 678.29 = 325.97 : x
  2. Step 2: Convert to fraction form
    492.05/678.29 = 325.97/x
  3. Step 3: Cross multiply
    492.05x = 678.29 × 325.97
  4. Step 4: Simplify right side
    492.05x = 221,098.87
  5. Step 5: Solve for x
    x = 221,098.87/492.05
  6. Step 6: Final answer
    x = 449.35

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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.