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Finding the Fourth Proportional to 486.14, 670.89 and 265.11

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Solution

The fourth proportional to 486.14, 670.89 and 265.11 is: 365.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.14 : 670.89 = 265.11 : x
  2. Step 2: Convert to fraction form
    486.14/670.89 = 265.11/x
  3. Step 3: Cross multiply
    486.14x = 670.89 × 265.11
  4. Step 4: Simplify right side
    486.14x = 177,859.65
  5. Step 5: Solve for x
    x = 177,859.65/486.14
  6. Step 6: Final answer
    x = 365.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.