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Finding the Fourth Proportional to 282.44, 421.46 and 279.69

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Solution

The fourth proportional to 282.44, 421.46 and 279.69 is: 417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.44 : 421.46 = 279.69 : x
  2. Step 2: Convert to fraction form
    282.44/421.46 = 279.69/x
  3. Step 3: Cross multiply
    282.44x = 421.46 × 279.69
  4. Step 4: Simplify right side
    282.44x = 117,876.75
  5. Step 5: Solve for x
    x = 117,876.75/282.44
  6. Step 6: Final answer
    x = 417.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.