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Finding the Fourth Proportional to 486.22, 671.00 and 265.16

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Solution

The fourth proportional to 486.22, 671.00 and 265.16 is: 365.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.22 : 671.00 = 265.16 : x
  2. Step 2: Convert to fraction form
    486.22/671.00 = 265.16/x
  3. Step 3: Cross multiply
    486.22x = 671.00 × 265.16
  4. Step 4: Simplify right side
    486.22x = 177,917.68
  5. Step 5: Solve for x
    x = 177,917.68/486.22
  6. Step 6: Final answer
    x = 365.92

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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.