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Finding the Fourth Proportional to 370.84, 512.14 and 272.44

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Solution

The fourth proportional to 370.84, 512.14 and 272.44 is: 376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.84 : 512.14 = 272.44 : x
  2. Step 2: Convert to fraction form
    370.84/512.14 = 272.44/x
  3. Step 3: Cross multiply
    370.84x = 512.14 × 272.44
  4. Step 4: Simplify right side
    370.84x = 139,527.42
  5. Step 5: Solve for x
    x = 139,527.42/370.84
  6. Step 6: Final answer
    x = 376.25

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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.