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Finding the Fourth Proportional to 486.53, 729.61 and 174.09

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Solution

The fourth proportional to 486.53, 729.61 and 174.09 is: 261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.53 : 729.61 = 174.09 : x
  2. Step 2: Convert to fraction form
    486.53/729.61 = 174.09/x
  3. Step 3: Cross multiply
    486.53x = 729.61 × 174.09
  4. Step 4: Simplify right side
    486.53x = 127,014.98
  5. Step 5: Solve for x
    x = 127,014.98/486.53
  6. Step 6: Final answer
    x = 261.06

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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.