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Finding the Fourth Proportional to 370.52, 511.24 and 213.14

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Solution

The fourth proportional to 370.52, 511.24 and 213.14 is: 294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.52 : 511.24 = 213.14 : x
  2. Step 2: Convert to fraction form
    370.52/511.24 = 213.14/x
  3. Step 3: Cross multiply
    370.52x = 511.24 × 213.14
  4. Step 4: Simplify right side
    370.52x = 108,963.14
  5. Step 5: Solve for x
    x = 108,963.14/370.52
  6. Step 6: Final answer
    x = 294.09

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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.