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Finding the Fourth Proportional to 486.62, 729.77 and 194.19

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Solution

The fourth proportional to 486.62, 729.77 and 194.19 is: 291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.62 : 729.77 = 194.19 : x
  2. Step 2: Convert to fraction form
    486.62/729.77 = 194.19/x
  3. Step 3: Cross multiply
    486.62x = 729.77 × 194.19
  4. Step 4: Simplify right side
    486.62x = 141,713.07
  5. Step 5: Solve for x
    x = 141,713.07/486.62
  6. Step 6: Final answer
    x = 291.22

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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.