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Finding the Fourth Proportional to 428.41, 591.16 and 251.24

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Solution

The fourth proportional to 428.41, 591.16 and 251.24 is: 346.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.41 : 591.16 = 251.24 : x
  2. Step 2: Convert to fraction form
    428.41/591.16 = 251.24/x
  3. Step 3: Cross multiply
    428.41x = 591.16 × 251.24
  4. Step 4: Simplify right side
    428.41x = 148,523.42
  5. Step 5: Solve for x
    x = 148,523.42/428.41
  6. Step 6: Final answer
    x = 346.68

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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.