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Finding the Fourth Proportional to 380.89, 570.79 and 335.53

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Solution

The fourth proportional to 380.89, 570.79 and 335.53 is: 502.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.89 : 570.79 = 335.53 : x
  2. Step 2: Convert to fraction form
    380.89/570.79 = 335.53/x
  3. Step 3: Cross multiply
    380.89x = 570.79 × 335.53
  4. Step 4: Simplify right side
    380.89x = 191,517.17
  5. Step 5: Solve for x
    x = 191,517.17/380.89
  6. Step 6: Final answer
    x = 502.81

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Why These Related Problems?

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