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Finding the Fourth Proportional to 486.79, 730.17 and 178.65

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Solution

The fourth proportional to 486.79, 730.17 and 178.65 is: 267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.79 : 730.17 = 178.65 : x
  2. Step 2: Convert to fraction form
    486.79/730.17 = 178.65/x
  3. Step 3: Cross multiply
    486.79x = 730.17 × 178.65
  4. Step 4: Simplify right side
    486.79x = 130,444.87
  5. Step 5: Solve for x
    x = 130,444.87/486.79
  6. Step 6: Final answer
    x = 267.97

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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.