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Finding the Fourth Proportional to 374.52, 516.85 and 208.75

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Solution

The fourth proportional to 374.52, 516.85 and 208.75 is: 288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.52 : 516.85 = 208.75 : x
  2. Step 2: Convert to fraction form
    374.52/516.85 = 208.75/x
  3. Step 3: Cross multiply
    374.52x = 516.85 × 208.75
  4. Step 4: Simplify right side
    374.52x = 107,892.56
  5. Step 5: Solve for x
    x = 107,892.56/374.52
  6. Step 6: Final answer
    x = 288.08

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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.