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Finding the Fourth Proportional to 369.20, 508.92 and 276.32

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Solution

The fourth proportional to 369.20, 508.92 and 276.32 is: 380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.20 : 508.92 = 276.32 : x
  2. Step 2: Convert to fraction form
    369.20/508.92 = 276.32/x
  3. Step 3: Cross multiply
    369.20x = 508.92 × 276.32
  4. Step 4: Simplify right side
    369.20x = 140,624.77
  5. Step 5: Solve for x
    x = 140,624.77/369.20
  6. Step 6: Final answer
    x = 380.89

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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.