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Finding the Fourth Proportional to 310.28, 427.21 and 263.56

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Solution

The fourth proportional to 310.28, 427.21 and 263.56 is: 362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.28 : 427.21 = 263.56 : x
  2. Step 2: Convert to fraction form
    310.28/427.21 = 263.56/x
  3. Step 3: Cross multiply
    310.28x = 427.21 × 263.56
  4. Step 4: Simplify right side
    310.28x = 112,595.47
  5. Step 5: Solve for x
    x = 112,595.47/310.28
  6. Step 6: Final answer
    x = 362.88

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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.