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Finding the Fourth Proportional to 516.33, 774.81 and 285.30

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Solution

The fourth proportional to 516.33, 774.81 and 285.30 is: 428.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.33 : 774.81 = 285.30 : x
  2. Step 2: Convert to fraction form
    516.33/774.81 = 285.30/x
  3. Step 3: Cross multiply
    516.33x = 774.81 × 285.30
  4. Step 4: Simplify right side
    516.33x = 221,053.29
  5. Step 5: Solve for x
    x = 221,053.29/516.33
  6. Step 6: Final answer
    x = 428.12

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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.