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Finding the Fourth Proportional to 498.72, 748.04 and 206.14

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Solution

The fourth proportional to 498.72, 748.04 and 206.14 is: 309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.72 : 748.04 = 206.14 : x
  2. Step 2: Convert to fraction form
    498.72/748.04 = 206.14/x
  3. Step 3: Cross multiply
    498.72x = 748.04 × 206.14
  4. Step 4: Simplify right side
    498.72x = 154,198.06
  5. Step 5: Solve for x
    x = 154,198.06/498.72
  6. Step 6: Final answer
    x = 309.19

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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.