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Finding the Fourth Proportional to 282.75, 389.96 and 259.47

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Solution

The fourth proportional to 282.75, 389.96 and 259.47 is: 357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.75 : 389.96 = 259.47 : x
  2. Step 2: Convert to fraction form
    282.75/389.96 = 259.47/x
  3. Step 3: Cross multiply
    282.75x = 389.96 × 259.47
  4. Step 4: Simplify right side
    282.75x = 101,181.62
  5. Step 5: Solve for x
    x = 101,181.62/282.75
  6. Step 6: Final answer
    x = 357.85

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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.