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Finding the Fourth Proportional to 310.49, 428.53 and 205.58

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Solution

The fourth proportional to 310.49, 428.53 and 205.58 is: 283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.49 : 428.53 = 205.58 : x
  2. Step 2: Convert to fraction form
    310.49/428.53 = 205.58/x
  3. Step 3: Cross multiply
    310.49x = 428.53 × 205.58
  4. Step 4: Simplify right side
    310.49x = 88,097.20
  5. Step 5: Solve for x
    x = 88,097.20/310.49
  6. Step 6: Final answer
    x = 283.74

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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.