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Finding the Fourth Proportional to 503.26, 754.84 and 174.17

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Solution

The fourth proportional to 503.26, 754.84 and 174.17 is: 261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.26 : 754.84 = 174.17 : x
  2. Step 2: Convert to fraction form
    503.26/754.84 = 174.17/x
  3. Step 3: Cross multiply
    503.26x = 754.84 × 174.17
  4. Step 4: Simplify right side
    503.26x = 131,466.27
  5. Step 5: Solve for x
    x = 131,466.27/503.26
  6. Step 6: Final answer
    x = 261.23

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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.