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Finding the Fourth Proportional to 428.86, 591.80 and 254.14

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Solution

The fourth proportional to 428.86, 591.80 and 254.14 is: 350.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.86 : 591.80 = 254.14 : x
  2. Step 2: Convert to fraction form
    428.86/591.80 = 254.14/x
  3. Step 3: Cross multiply
    428.86x = 591.80 × 254.14
  4. Step 4: Simplify right side
    428.86x = 150,400.05
  5. Step 5: Solve for x
    x = 150,400.05/428.86
  6. Step 6: Final answer
    x = 350.70

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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.