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Finding the Fourth Proportional to 374.48, 516.78 and 206.43

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Solution

The fourth proportional to 374.48, 516.78 and 206.43 is: 284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.48 : 516.78 = 206.43 : x
  2. Step 2: Convert to fraction form
    374.48/516.78 = 206.43/x
  3. Step 3: Cross multiply
    374.48x = 516.78 × 206.43
  4. Step 4: Simplify right side
    374.48x = 106,678.90
  5. Step 5: Solve for x
    x = 106,678.90/374.48
  6. Step 6: Final answer
    x = 284.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.