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Finding the Fourth Proportional to 402.42, 555.36 and 227.82

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Solution

The fourth proportional to 402.42, 555.36 and 227.82 is: 314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.42 : 555.36 = 227.82 : x
  2. Step 2: Convert to fraction form
    402.42/555.36 = 227.82/x
  3. Step 3: Cross multiply
    402.42x = 555.36 × 227.82
  4. Step 4: Simplify right side
    402.42x = 126,522.12
  5. Step 5: Solve for x
    x = 126,522.12/402.42
  6. Step 6: Final answer
    x = 314.40

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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.