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Finding the Fourth Proportional to 492.61, 678.97 and 326.54

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Solution

The fourth proportional to 492.61, 678.97 and 326.54 is: 450.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.61 : 678.97 = 326.54 : x
  2. Step 2: Convert to fraction form
    492.61/678.97 = 326.54/x
  3. Step 3: Cross multiply
    492.61x = 678.97 × 326.54
  4. Step 4: Simplify right side
    492.61x = 221,706.65
  5. Step 5: Solve for x
    x = 221,706.65/492.61
  6. Step 6: Final answer
    x = 450.06

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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.