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Finding the Fourth Proportional to 397.65, 548.89 and 335.80

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Solution

The fourth proportional to 397.65, 548.89 and 335.80 is: 463.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.65 : 548.89 = 335.80 : x
  2. Step 2: Convert to fraction form
    397.65/548.89 = 335.80/x
  3. Step 3: Cross multiply
    397.65x = 548.89 × 335.80
  4. Step 4: Simplify right side
    397.65x = 184,313.43
  5. Step 5: Solve for x
    x = 184,313.43/397.65
  6. Step 6: Final answer
    x = 463.51

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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.