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Finding the Fourth Proportional to 380.20, 526.88 and 372.90

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Solution

The fourth proportional to 380.20, 526.88 and 372.90 is: 516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.20 : 526.88 = 372.90 : x
  2. Step 2: Convert to fraction form
    380.20/526.88 = 372.90/x
  3. Step 3: Cross multiply
    380.20x = 526.88 × 372.90
  4. Step 4: Simplify right side
    380.20x = 196,473.55
  5. Step 5: Solve for x
    x = 196,473.55/380.20
  6. Step 6: Final answer
    x = 516.76

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.