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Finding the Fourth Proportional to 402.78, 555.81 and 228.15

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Solution

The fourth proportional to 402.78, 555.81 and 228.15 is: 314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.78 : 555.81 = 228.15 : x
  2. Step 2: Convert to fraction form
    402.78/555.81 = 228.15/x
  3. Step 3: Cross multiply
    402.78x = 555.81 × 228.15
  4. Step 4: Simplify right side
    402.78x = 126,808.05
  5. Step 5: Solve for x
    x = 126,808.05/402.78
  6. Step 6: Final answer
    x = 314.83

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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.