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Finding the Fourth Proportional to 310.50, 428.58 and 205.77

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Solution

The fourth proportional to 310.50, 428.58 and 205.77 is: 284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.50 : 428.58 = 205.77 : x
  2. Step 2: Convert to fraction form
    310.50/428.58 = 205.77/x
  3. Step 3: Cross multiply
    310.50x = 428.58 × 205.77
  4. Step 4: Simplify right side
    310.50x = 88,188.91
  5. Step 5: Solve for x
    x = 88,188.91/310.50
  6. Step 6: Final answer
    x = 284.02

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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.