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Finding the Fourth Proportional to 282.80, 421.74 and 267.45

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Solution

The fourth proportional to 282.80, 421.74 and 267.45 is: 398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.80 : 421.74 = 267.45 : x
  2. Step 2: Convert to fraction form
    282.80/421.74 = 267.45/x
  3. Step 3: Cross multiply
    282.80x = 421.74 × 267.45
  4. Step 4: Simplify right side
    282.80x = 112,794.36
  5. Step 5: Solve for x
    x = 112,794.36/282.80
  6. Step 6: Final answer
    x = 398.85

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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.