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Finding the Fourth Proportional to 374.32, 516.51 and 208.51

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Solution

The fourth proportional to 374.32, 516.51 and 208.51 is: 287.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.32 : 516.51 = 208.51 : x
  2. Step 2: Convert to fraction form
    374.32/516.51 = 208.51/x
  3. Step 3: Cross multiply
    374.32x = 516.51 × 208.51
  4. Step 4: Simplify right side
    374.32x = 107,694.92
  5. Step 5: Solve for x
    x = 107,694.92/374.32
  6. Step 6: Final answer
    x = 287.71

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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.