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Finding the Fourth Proportional to 486.08, 670.82 and 265.03

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Solution

The fourth proportional to 486.08, 670.82 and 265.03 is: 365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.08 : 670.82 = 265.03 : x
  2. Step 2: Convert to fraction form
    486.08/670.82 = 265.03/x
  3. Step 3: Cross multiply
    486.08x = 670.82 × 265.03
  4. Step 4: Simplify right side
    486.08x = 177,782.75
  5. Step 5: Solve for x
    x = 177,782.75/486.08
  6. Step 6: Final answer
    x = 365.75

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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.