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Finding the Fourth Proportional to 310.22, 428.24 and 205.35

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Solution

The fourth proportional to 310.22, 428.24 and 205.35 is: 283.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.22 : 428.24 = 205.35 : x
  2. Step 2: Convert to fraction form
    310.22/428.24 = 205.35/x
  3. Step 3: Cross multiply
    310.22x = 428.24 × 205.35
  4. Step 4: Simplify right side
    310.22x = 87,938.06
  5. Step 5: Solve for x
    x = 87,938.06/310.22
  6. Step 6: Final answer
    x = 283.47

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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.