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Finding the Fourth Proportional to 335.80, 504.26 and 253.54

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Solution

The fourth proportional to 335.80, 504.26 and 253.54 is: 380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.80 : 504.26 = 253.54 : x
  2. Step 2: Convert to fraction form
    335.80/504.26 = 253.54/x
  3. Step 3: Cross multiply
    335.80x = 504.26 × 253.54
  4. Step 4: Simplify right side
    335.80x = 127,849.45
  5. Step 5: Solve for x
    x = 127,849.45/335.80
  6. Step 6: Final answer
    x = 380.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.