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Finding the Fourth Proportional to 374.11, 516.24 and 208.31

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Solution

The fourth proportional to 374.11, 516.24 and 208.31 is: 287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.11 : 516.24 = 208.31 : x
  2. Step 2: Convert to fraction form
    374.11/516.24 = 208.31/x
  3. Step 3: Cross multiply
    374.11x = 516.24 × 208.31
  4. Step 4: Simplify right side
    374.11x = 107,537.95
  5. Step 5: Solve for x
    x = 107,537.95/374.11
  6. Step 6: Final answer
    x = 287.45

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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.