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Finding the Fourth Proportional to 374.27, 516.63 and 263.81

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Solution

The fourth proportional to 374.27, 516.63 and 263.81 is: 364.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.27 : 516.63 = 263.81 : x
  2. Step 2: Convert to fraction form
    374.27/516.63 = 263.81/x
  3. Step 3: Cross multiply
    374.27x = 516.63 × 263.81
  4. Step 4: Simplify right side
    374.27x = 136,289.58
  5. Step 5: Solve for x
    x = 136,289.58/374.27
  6. Step 6: Final answer
    x = 364.15

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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.