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Finding the Fourth Proportional to 516.82, 775.16 and 228.19

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Solution

The fourth proportional to 516.82, 775.16 and 228.19 is: 342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.82 : 775.16 = 228.19 : x
  2. Step 2: Convert to fraction form
    516.82/775.16 = 228.19/x
  3. Step 3: Cross multiply
    516.82x = 775.16 × 228.19
  4. Step 4: Simplify right side
    516.82x = 176,881.54
  5. Step 5: Solve for x
    x = 176,881.54/516.82
  6. Step 6: Final answer
    x = 342.25

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Why These Related Problems?

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