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Finding the Fourth Proportional to 385.20, 575.60 and 335.79

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Solution

The fourth proportional to 385.20, 575.60 and 335.79 is: 501.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.20 : 575.60 = 335.79 : x
  2. Step 2: Convert to fraction form
    385.20/575.60 = 335.79/x
  3. Step 3: Cross multiply
    385.20x = 575.60 × 335.79
  4. Step 4: Simplify right side
    385.20x = 193,279.05
  5. Step 5: Solve for x
    x = 193,279.05/385.20
  6. Step 6: Final answer
    x = 501.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.