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Finding the Fourth Proportional to 428.70, 591.45 and 251.61

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Solution

The fourth proportional to 428.70, 591.45 and 251.61 is: 347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.70 : 591.45 = 251.61 : x
  2. Step 2: Convert to fraction form
    428.70/591.45 = 251.61/x
  3. Step 3: Cross multiply
    428.70x = 591.45 × 251.61
  4. Step 4: Simplify right side
    428.70x = 148,814.73
  5. Step 5: Solve for x
    x = 148,814.73/428.70
  6. Step 6: Final answer
    x = 347.13

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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.