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Finding the Fourth Proportional to 310.46, 428.04 and 248.54

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Solution

The fourth proportional to 310.46, 428.04 and 248.54 is: 342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.46 : 428.04 = 248.54 : x
  2. Step 2: Convert to fraction form
    310.46/428.04 = 248.54/x
  3. Step 3: Cross multiply
    310.46x = 428.04 × 248.54
  4. Step 4: Simplify right side
    310.46x = 106,385.06
  5. Step 5: Solve for x
    x = 106,385.06/310.46
  6. Step 6: Final answer
    x = 342.67

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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.