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Finding the Fourth Proportional to 370.57, 511.37 and 213.21

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Solution

The fourth proportional to 370.57, 511.37 and 213.21 is: 294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.57 : 511.37 = 213.21 : x
  2. Step 2: Convert to fraction form
    370.57/511.37 = 213.21/x
  3. Step 3: Cross multiply
    370.57x = 511.37 × 213.21
  4. Step 4: Simplify right side
    370.57x = 109,029.20
  5. Step 5: Solve for x
    x = 109,029.20/370.57
  6. Step 6: Final answer
    x = 294.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.