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Finding the Fourth Proportional to 283.22, 421.99 and 252.53

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Solution

The fourth proportional to 283.22, 421.99 and 252.53 is: 376.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.22 : 421.99 = 252.53 : x
  2. Step 2: Convert to fraction form
    283.22/421.99 = 252.53/x
  3. Step 3: Cross multiply
    283.22x = 421.99 × 252.53
  4. Step 4: Simplify right side
    283.22x = 106,566.19
  5. Step 5: Solve for x
    x = 106,566.19/283.22
  6. Step 6: Final answer
    x = 376.26

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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.