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Finding the Fourth Proportional to 310.31, 428.73 and 264.17

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Solution

The fourth proportional to 310.31, 428.73 and 264.17 is: 364.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.31 : 428.73 = 264.17 : x
  2. Step 2: Convert to fraction form
    310.31/428.73 = 264.17/x
  3. Step 3: Cross multiply
    310.31x = 428.73 × 264.17
  4. Step 4: Simplify right side
    310.31x = 113,257.60
  5. Step 5: Solve for x
    x = 113,257.60/310.31
  6. Step 6: Final answer
    x = 364.98

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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.