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Finding the Fourth Proportional to 402.82, 555.90 and 228.16

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Solution

The fourth proportional to 402.82, 555.90 and 228.16 is: 314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.82 : 555.90 = 228.16 : x
  2. Step 2: Convert to fraction form
    402.82/555.90 = 228.16/x
  3. Step 3: Cross multiply
    402.82x = 555.90 × 228.16
  4. Step 4: Simplify right side
    402.82x = 126,834.14
  5. Step 5: Solve for x
    x = 126,834.14/402.82
  6. Step 6: Final answer
    x = 314.87

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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.