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Finding the Fourth Proportional to 373.46, 559.91 and 227.24

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Solution

The fourth proportional to 373.46, 559.91 and 227.24 is: 340.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.46 : 559.91 = 227.24 : x
  2. Step 2: Convert to fraction form
    373.46/559.91 = 227.24/x
  3. Step 3: Cross multiply
    373.46x = 559.91 × 227.24
  4. Step 4: Simplify right side
    373.46x = 127,232.81
  5. Step 5: Solve for x
    x = 127,232.81/373.46
  6. Step 6: Final answer
    x = 340.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.