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Finding the Fourth Proportional to 492.78, 739.69 and 219.06

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Solution

The fourth proportional to 492.78, 739.69 and 219.06 is: 328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.78 : 739.69 = 219.06 : x
  2. Step 2: Convert to fraction form
    492.78/739.69 = 219.06/x
  3. Step 3: Cross multiply
    492.78x = 739.69 × 219.06
  4. Step 4: Simplify right side
    492.78x = 162,035.40
  5. Step 5: Solve for x
    x = 162,035.40/492.78
  6. Step 6: Final answer
    x = 328.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.