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Finding the Fourth Proportional to 498.93, 748.00 and 206.42

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Solution

The fourth proportional to 498.93, 748.00 and 206.42 is: 309.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.93 : 748.00 = 206.42 : x
  2. Step 2: Convert to fraction form
    498.93/748.00 = 206.42/x
  3. Step 3: Cross multiply
    498.93x = 748.00 × 206.42
  4. Step 4: Simplify right side
    498.93x = 154,398.68
  5. Step 5: Solve for x
    x = 154,398.68/498.93
  6. Step 6: Final answer
    x = 309.46

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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.