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Finding the Fourth Proportional to 486.68, 729.86 and 194.27

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Solution

The fourth proportional to 486.68, 729.86 and 194.27 is: 291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.68 : 729.86 = 194.27 : x
  2. Step 2: Convert to fraction form
    486.68/729.86 = 194.27/x
  3. Step 3: Cross multiply
    486.68x = 729.86 × 194.27
  4. Step 4: Simplify right side
    486.68x = 141,785.28
  5. Step 5: Solve for x
    x = 141,785.28/486.68
  6. Step 6: Final answer
    x = 291.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.