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Finding the Fourth Proportional to 431.91, 596.18 and 254.87

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Solution

The fourth proportional to 431.91, 596.18 and 254.87 is: 351.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.91 : 596.18 = 254.87 : x
  2. Step 2: Convert to fraction form
    431.91/596.18 = 254.87/x
  3. Step 3: Cross multiply
    431.91x = 596.18 × 254.87
  4. Step 4: Simplify right side
    431.91x = 151,944.14
  5. Step 5: Solve for x
    x = 151,944.14/431.91
  6. Step 6: Final answer
    x = 351.80

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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.