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Finding the Fourth Proportional to 310.88, 428.85 and 205.98

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Solution

The fourth proportional to 310.88, 428.85 and 205.98 is: 284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.88 : 428.85 = 205.98 : x
  2. Step 2: Convert to fraction form
    310.88/428.85 = 205.98/x
  3. Step 3: Cross multiply
    310.88x = 428.85 × 205.98
  4. Step 4: Simplify right side
    310.88x = 88,334.52
  5. Step 5: Solve for x
    x = 88,334.52/310.88
  6. Step 6: Final answer
    x = 284.15

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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.