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Finding the Fourth Proportional to 310.65, 428.63 and 205.89

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Solution

The fourth proportional to 310.65, 428.63 and 205.89 is: 284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.65 : 428.63 = 205.89 : x
  2. Step 2: Convert to fraction form
    310.65/428.63 = 205.89/x
  3. Step 3: Cross multiply
    310.65x = 428.63 × 205.89
  4. Step 4: Simplify right side
    310.65x = 88,249.60
  5. Step 5: Solve for x
    x = 88,249.60/310.65
  6. Step 6: Final answer
    x = 284.08

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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.