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Finding the Fourth Proportional to 428.46, 591.15 and 251.37

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Solution

The fourth proportional to 428.46, 591.15 and 251.37 is: 346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.46 : 591.15 = 251.37 : x
  2. Step 2: Convert to fraction form
    428.46/591.15 = 251.37/x
  3. Step 3: Cross multiply
    428.46x = 591.15 × 251.37
  4. Step 4: Simplify right side
    428.46x = 148,597.38
  5. Step 5: Solve for x
    x = 148,597.38/428.46
  6. Step 6: Final answer
    x = 346.82

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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.