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Finding the Fourth Proportional to 516.16, 773.76 and 288

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Solution

The fourth proportional to 516.16, 773.76 and 288 is: 431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.16 : 773.76 = 288 : x
  2. Step 2: Convert to fraction form
    516.16/773.76 = 288/x
  3. Step 3: Cross multiply
    516.16x = 773.76 × 288
  4. Step 4: Simplify right side
    516.16x = 222,842.88
  5. Step 5: Solve for x
    x = 222,842.88/516.16
  6. Step 6: Final answer
    x = 431.73

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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.