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Finding the Fourth Proportional to 370.91, 511.74 and 223.49

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Solution

The fourth proportional to 370.91, 511.74 and 223.49 is: 308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.91 : 511.74 = 223.49 : x
  2. Step 2: Convert to fraction form
    370.91/511.74 = 223.49/x
  3. Step 3: Cross multiply
    370.91x = 511.74 × 223.49
  4. Step 4: Simplify right side
    370.91x = 114,370.05
  5. Step 5: Solve for x
    x = 114,370.05/370.91
  6. Step 6: Final answer
    x = 308.35

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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.