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Finding the Fourth Proportional to 516.90, 775.38 and 228.54

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Solution

The fourth proportional to 516.90, 775.38 and 228.54 is: 342.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.90 : 775.38 = 228.54 : x
  2. Step 2: Convert to fraction form
    516.90/775.38 = 228.54/x
  3. Step 3: Cross multiply
    516.90x = 775.38 × 228.54
  4. Step 4: Simplify right side
    516.90x = 177,205.35
  5. Step 5: Solve for x
    x = 177,205.35/516.90
  6. Step 6: Final answer
    x = 342.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.