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Finding the Fourth Proportional to 374.40, 516.71 and 208.60

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Solution

The fourth proportional to 374.40, 516.71 and 208.60 is: 287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.40 : 516.71 = 208.60 : x
  2. Step 2: Convert to fraction form
    374.40/516.71 = 208.60/x
  3. Step 3: Cross multiply
    374.40x = 516.71 × 208.60
  4. Step 4: Simplify right side
    374.40x = 107,782.08
  5. Step 5: Solve for x
    x = 107,782.08/374.40
  6. Step 6: Final answer
    x = 287.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.