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Finding the Fourth Proportional to 486.65, 730.26 and 194.09

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Solution

The fourth proportional to 486.65, 730.26 and 194.09 is: 291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.65 : 730.26 = 194.09 : x
  2. Step 2: Convert to fraction form
    486.65/730.26 = 194.09/x
  3. Step 3: Cross multiply
    486.65x = 730.26 × 194.09
  4. Step 4: Simplify right side
    486.65x = 141,732.51
  5. Step 5: Solve for x
    x = 141,732.51/486.65
  6. Step 6: Final answer
    x = 291.24

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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.