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Finding the Fourth Proportional to 372.91, 514.50 and 213.38

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Solution

The fourth proportional to 372.91, 514.50 and 213.38 is: 294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.91 : 514.50 = 213.38 : x
  2. Step 2: Convert to fraction form
    372.91/514.50 = 213.38/x
  3. Step 3: Cross multiply
    372.91x = 514.50 × 213.38
  4. Step 4: Simplify right side
    372.91x = 109,784.01
  5. Step 5: Solve for x
    x = 109,784.01/372.91
  6. Step 6: Final answer
    x = 294.40

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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.