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Finding the Fourth Proportional to 494.65, 742.02 and 170.02

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Solution

The fourth proportional to 494.65, 742.02 and 170.02 is: 255.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.65 : 742.02 = 170.02 : x
  2. Step 2: Convert to fraction form
    494.65/742.02 = 170.02/x
  3. Step 3: Cross multiply
    494.65x = 742.02 × 170.02
  4. Step 4: Simplify right side
    494.65x = 126,158.24
  5. Step 5: Solve for x
    x = 126,158.24/494.65
  6. Step 6: Final answer
    x = 255.05

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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.