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Finding the Fourth Proportional to 516.54, 774.08 and 285.14

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Solution

The fourth proportional to 516.54, 774.08 and 285.14 is: 427.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.54 : 774.08 = 285.14 : x
  2. Step 2: Convert to fraction form
    516.54/774.08 = 285.14/x
  3. Step 3: Cross multiply
    516.54x = 774.08 × 285.14
  4. Step 4: Simplify right side
    516.54x = 220,721.17
  5. Step 5: Solve for x
    x = 220,721.17/516.54
  6. Step 6: Final answer
    x = 427.31

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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.