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Finding the Fourth Proportional to 374.58, 516.92 and 208.80

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Solution

The fourth proportional to 374.58, 516.92 and 208.80 is: 288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.58 : 516.92 = 208.80 : x
  2. Step 2: Convert to fraction form
    374.58/516.92 = 208.80/x
  3. Step 3: Cross multiply
    374.58x = 516.92 × 208.80
  4. Step 4: Simplify right side
    374.58x = 107,932.90
  5. Step 5: Solve for x
    x = 107,932.90/374.58
  6. Step 6: Final answer
    x = 288.14

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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.