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Finding the Fourth Proportional to 370.55, 511.45 and 213.20

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Solution

The fourth proportional to 370.55, 511.45 and 213.20 is: 294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.55 : 511.45 = 213.20 : x
  2. Step 2: Convert to fraction form
    370.55/511.45 = 213.20/x
  3. Step 3: Cross multiply
    370.55x = 511.45 × 213.20
  4. Step 4: Simplify right side
    370.55x = 109,039.73
  5. Step 5: Solve for x
    x = 109,039.73/370.55
  6. Step 6: Final answer
    x = 294.27

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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.