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Finding the Fourth Proportional to 486.63, 730.06 and 194.09

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Solution

The fourth proportional to 486.63, 730.06 and 194.09 is: 291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.63 : 730.06 = 194.09 : x
  2. Step 2: Convert to fraction form
    486.63/730.06 = 194.09/x
  3. Step 3: Cross multiply
    486.63x = 730.06 × 194.09
  4. Step 4: Simplify right side
    486.63x = 141,693.21
  5. Step 5: Solve for x
    x = 141,693.21/486.63
  6. Step 6: Final answer
    x = 291.17

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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.