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Finding the Fourth Proportional to 494.68, 742.08 and 206.32

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Solution

The fourth proportional to 494.68, 742.08 and 206.32 is: 309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.68 : 742.08 = 206.32 : x
  2. Step 2: Convert to fraction form
    494.68/742.08 = 206.32/x
  3. Step 3: Cross multiply
    494.68x = 742.08 × 206.32
  4. Step 4: Simplify right side
    494.68x = 153,105.95
  5. Step 5: Solve for x
    x = 153,105.95/494.68
  6. Step 6: Final answer
    x = 309.51

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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.