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Finding the Fourth Proportional to 374.46, 516.75 and 208.65

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Solution

The fourth proportional to 374.46, 516.75 and 208.65 is: 287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.46 : 516.75 = 208.65 : x
  2. Step 2: Convert to fraction form
    374.46/516.75 = 208.65/x
  3. Step 3: Cross multiply
    374.46x = 516.75 × 208.65
  4. Step 4: Simplify right side
    374.46x = 107,819.89
  5. Step 5: Solve for x
    x = 107,819.89/374.46
  6. Step 6: Final answer
    x = 287.93

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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.