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Finding the Fourth Proportional to 374.60, 516.30 and 287.48

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Solution

The fourth proportional to 374.60, 516.30 and 287.48 is: 396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.60 : 516.30 = 287.48 : x
  2. Step 2: Convert to fraction form
    374.60/516.30 = 287.48/x
  3. Step 3: Cross multiply
    374.60x = 516.30 × 287.48
  4. Step 4: Simplify right side
    374.60x = 148,425.92
  5. Step 5: Solve for x
    x = 148,425.92/374.60
  6. Step 6: Final answer
    x = 396.23

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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.