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Finding the Fourth Proportional to 462.98, 693.84 and 174.26

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Solution

The fourth proportional to 462.98, 693.84 and 174.26 is: 261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.98 : 693.84 = 174.26 : x
  2. Step 2: Convert to fraction form
    462.98/693.84 = 174.26/x
  3. Step 3: Cross multiply
    462.98x = 693.84 × 174.26
  4. Step 4: Simplify right side
    462.98x = 120,908.56
  5. Step 5: Solve for x
    x = 120,908.56/462.98
  6. Step 6: Final answer
    x = 261.15

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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.