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Finding the Fourth Proportional to 428.91, 591.78 and 251.82

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Solution

The fourth proportional to 428.91, 591.78 and 251.82 is: 347.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.91 : 591.78 = 251.82 : x
  2. Step 2: Convert to fraction form
    428.91/591.78 = 251.82/x
  3. Step 3: Cross multiply
    428.91x = 591.78 × 251.82
  4. Step 4: Simplify right side
    428.91x = 149,022.04
  5. Step 5: Solve for x
    x = 149,022.04/428.91
  6. Step 6: Final answer
    x = 347.44

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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.