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Finding the Fourth Proportional to 431.88, 595.86 and 254.79

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Solution

The fourth proportional to 431.88, 595.86 and 254.79 is: 351.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.88 : 595.86 = 254.79 : x
  2. Step 2: Convert to fraction form
    431.88/595.86 = 254.79/x
  3. Step 3: Cross multiply
    431.88x = 595.86 × 254.79
  4. Step 4: Simplify right side
    431.88x = 151,819.17
  5. Step 5: Solve for x
    x = 151,819.17/431.88
  6. Step 6: Final answer
    x = 351.53

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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.