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Finding the Fourth Proportional to 486.88, 728.93 and 255.24

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Solution

The fourth proportional to 486.88, 728.93 and 255.24 is: 382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.88 : 728.93 = 255.24 : x
  2. Step 2: Convert to fraction form
    486.88/728.93 = 255.24/x
  3. Step 3: Cross multiply
    486.88x = 728.93 × 255.24
  4. Step 4: Simplify right side
    486.88x = 186,052.73
  5. Step 5: Solve for x
    x = 186,052.73/486.88
  6. Step 6: Final answer
    x = 382.13

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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.