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Finding the Fourth Proportional to 282.82, 419.24 and 278.46

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Solution

The fourth proportional to 282.82, 419.24 and 278.46 is: 412.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.82 : 419.24 = 278.46 : x
  2. Step 2: Convert to fraction form
    282.82/419.24 = 278.46/x
  3. Step 3: Cross multiply
    282.82x = 419.24 × 278.46
  4. Step 4: Simplify right side
    282.82x = 116,741.57
  5. Step 5: Solve for x
    x = 116,741.57/282.82
  6. Step 6: Final answer
    x = 412.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.