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Finding the Fourth Proportional to 462.64, 693.40 and 169.91

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Solution

The fourth proportional to 462.64, 693.40 and 169.91 is: 254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.64 : 693.40 = 169.91 : x
  2. Step 2: Convert to fraction form
    462.64/693.40 = 169.91/x
  3. Step 3: Cross multiply
    462.64x = 693.40 × 169.91
  4. Step 4: Simplify right side
    462.64x = 117,812.13
  5. Step 5: Solve for x
    x = 117,812.13/462.64
  6. Step 6: Final answer
    x = 254.65

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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.