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Finding the Fourth Proportional to 310.71, 428.64 and 205.65

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Solution

The fourth proportional to 310.71, 428.64 and 205.65 is: 283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.71 : 428.64 = 205.65 : x
  2. Step 2: Convert to fraction form
    310.71/428.64 = 205.65/x
  3. Step 3: Cross multiply
    310.71x = 428.64 × 205.65
  4. Step 4: Simplify right side
    310.71x = 88,149.82
  5. Step 5: Solve for x
    x = 88,149.82/310.71
  6. Step 6: Final answer
    x = 283.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.