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Finding the Fourth Proportional to 428.86, 591.77 and 251.79

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Solution

The fourth proportional to 428.86, 591.77 and 251.79 is: 347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.86 : 591.77 = 251.79 : x
  2. Step 2: Convert to fraction form
    428.86/591.77 = 251.79/x
  3. Step 3: Cross multiply
    428.86x = 591.77 × 251.79
  4. Step 4: Simplify right side
    428.86x = 148,998.81
  5. Step 5: Solve for x
    x = 148,998.81/428.86
  6. Step 6: Final answer
    x = 347.43

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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.