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Finding the Fourth Proportional to 494.63, 742.04 and 206.06

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Solution

The fourth proportional to 494.63, 742.04 and 206.06 is: 309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.63 : 742.04 = 206.06 : x
  2. Step 2: Convert to fraction form
    494.63/742.04 = 206.06/x
  3. Step 3: Cross multiply
    494.63x = 742.04 × 206.06
  4. Step 4: Simplify right side
    494.63x = 152,904.76
  5. Step 5: Solve for x
    x = 152,904.76/494.63
  6. Step 6: Final answer
    x = 309.13

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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.