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Finding the Fourth Proportional to 283.94, 391.56 and 228.50

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Solution

The fourth proportional to 283.94, 391.56 and 228.50 is: 315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.94 : 391.56 = 228.50 : x
  2. Step 2: Convert to fraction form
    283.94/391.56 = 228.50/x
  3. Step 3: Cross multiply
    283.94x = 391.56 × 228.50
  4. Step 4: Simplify right side
    283.94x = 89,471.46
  5. Step 5: Solve for x
    x = 89,471.46/283.94
  6. Step 6: Final answer
    x = 315.11

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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.