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Finding the Fourth Proportional to 486.81, 730.21 and 282.82

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Solution

The fourth proportional to 486.81, 730.21 and 282.82 is: 424.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.81 : 730.21 = 282.82 : x
  2. Step 2: Convert to fraction form
    486.81/730.21 = 282.82/x
  3. Step 3: Cross multiply
    486.81x = 730.21 × 282.82
  4. Step 4: Simplify right side
    486.81x = 206,517.99
  5. Step 5: Solve for x
    x = 206,517.99/486.81
  6. Step 6: Final answer
    x = 424.23

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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.