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Finding the Fourth Proportional to 370.44, 511.17 and 213.07

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Solution

The fourth proportional to 370.44, 511.17 and 213.07 is: 294.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.44 : 511.17 = 213.07 : x
  2. Step 2: Convert to fraction form
    370.44/511.17 = 213.07/x
  3. Step 3: Cross multiply
    370.44x = 511.17 × 213.07
  4. Step 4: Simplify right side
    370.44x = 108,914.99
  5. Step 5: Solve for x
    x = 108,914.99/370.44
  6. Step 6: Final answer
    x = 294.02

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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.