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Finding the Fourth Proportional to 486, 670.66 and 264.96

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Solution

The fourth proportional to 486, 670.66 and 264.96 is: 365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    486 : 670.66 = 264.96 : x
  2. Step 2: Convert to fraction form
    486/670.66 = 264.96/x
  3. Step 3: Cross multiply
    486x = 670.66 × 264.96
  4. Step 4: Simplify right side
    486x = 177,694.72
  5. Step 5: Solve for x
    x = 177,694.72/486
  6. Step 6: Final answer
    x = 365.63

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