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Finding the Fourth Proportional to 402.75, 555.80 and 228.15

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Solution

The fourth proportional to 402.75, 555.80 and 228.15 is: 314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.75 : 555.80 = 228.15 : x
  2. Step 2: Convert to fraction form
    402.75/555.80 = 228.15/x
  3. Step 3: Cross multiply
    402.75x = 555.80 × 228.15
  4. Step 4: Simplify right side
    402.75x = 126,804.63
  5. Step 5: Solve for x
    x = 126,804.63/402.75
  6. Step 6: Final answer
    x = 314.85

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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.