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Finding the Fourth Proportional to 516.83, 775.26 and 285.84

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Solution

The fourth proportional to 516.83, 775.26 and 285.84 is: 428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.83 : 775.26 = 285.84 : x
  2. Step 2: Convert to fraction form
    516.83/775.26 = 285.84/x
  3. Step 3: Cross multiply
    516.83x = 775.26 × 285.84
  4. Step 4: Simplify right side
    516.83x = 221,600.32
  5. Step 5: Solve for x
    x = 221,600.32/516.83
  6. Step 6: Final answer
    x = 428.77

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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.