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Finding the Fourth Proportional to 283.75, 391.74 and 214.63

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Solution

The fourth proportional to 283.75, 391.74 and 214.63 is: 296.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.75 : 391.74 = 214.63 : x
  2. Step 2: Convert to fraction form
    283.75/391.74 = 214.63/x
  3. Step 3: Cross multiply
    283.75x = 391.74 × 214.63
  4. Step 4: Simplify right side
    283.75x = 84,078.08
  5. Step 5: Solve for x
    x = 84,078.08/283.75
  6. Step 6: Final answer
    x = 296.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.