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Finding the Fourth Proportional to 310.83, 428.97 and 205.74

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Solution

The fourth proportional to 310.83, 428.97 and 205.74 is: 283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.83 : 428.97 = 205.74 : x
  2. Step 2: Convert to fraction form
    310.83/428.97 = 205.74/x
  3. Step 3: Cross multiply
    310.83x = 428.97 × 205.74
  4. Step 4: Simplify right side
    310.83x = 88,253.11
  5. Step 5: Solve for x
    x = 88,253.11/310.83
  6. Step 6: Final answer
    x = 283.93

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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.