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Finding the Fourth Proportional to 282.30, 388.83 and 280.62

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Solution

The fourth proportional to 282.30, 388.83 and 280.62 is: 386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.30 : 388.83 = 280.62 : x
  2. Step 2: Convert to fraction form
    282.30/388.83 = 280.62/x
  3. Step 3: Cross multiply
    282.30x = 388.83 × 280.62
  4. Step 4: Simplify right side
    282.30x = 109,113.47
  5. Step 5: Solve for x
    x = 109,113.47/282.30
  6. Step 6: Final answer
    x = 386.52

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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.