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Finding the Fourth Proportional to 516.84, 775.14 and 285.66

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Solution

The fourth proportional to 516.84, 775.14 and 285.66 is: 428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.84 : 775.14 = 285.66 : x
  2. Step 2: Convert to fraction form
    516.84/775.14 = 285.66/x
  3. Step 3: Cross multiply
    516.84x = 775.14 × 285.66
  4. Step 4: Simplify right side
    516.84x = 221,426.49
  5. Step 5: Solve for x
    x = 221,426.49/516.84
  6. Step 6: Final answer
    x = 428.42

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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.