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Finding the Fourth Proportional to 353.86, 488.10 and 255.46

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Solution

The fourth proportional to 353.86, 488.10 and 255.46 is: 352.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.86 : 488.10 = 255.46 : x
  2. Step 2: Convert to fraction form
    353.86/488.10 = 255.46/x
  3. Step 3: Cross multiply
    353.86x = 488.10 × 255.46
  4. Step 4: Simplify right side
    353.86x = 124,690.03
  5. Step 5: Solve for x
    x = 124,690.03/353.86
  6. Step 6: Final answer
    x = 352.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.