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Finding the Fourth Proportional to 492.12, 679.08 and 361.20

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Solution

The fourth proportional to 492.12, 679.08 and 361.20 is: 498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.12 : 679.08 = 361.20 : x
  2. Step 2: Convert to fraction form
    492.12/679.08 = 361.20/x
  3. Step 3: Cross multiply
    492.12x = 679.08 × 361.20
  4. Step 4: Simplify right side
    492.12x = 245,283.70
  5. Step 5: Solve for x
    x = 245,283.70/492.12
  6. Step 6: Final answer
    x = 498.42

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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.