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Finding the Fourth Proportional to 428.09, 590.79 and 251.18

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Solution

The fourth proportional to 428.09, 590.79 and 251.18 is: 346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.09 : 590.79 = 251.18 : x
  2. Step 2: Convert to fraction form
    428.09/590.79 = 251.18/x
  3. Step 3: Cross multiply
    428.09x = 590.79 × 251.18
  4. Step 4: Simplify right side
    428.09x = 148,391.05
  5. Step 5: Solve for x
    x = 148,391.05/428.09
  6. Step 6: Final answer
    x = 346.63

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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.