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Finding the Fourth Proportional to 380.62, 570.34 and 311.86

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Solution

The fourth proportional to 380.62, 570.34 and 311.86 is: 467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.62 : 570.34 = 311.86 : x
  2. Step 2: Convert to fraction form
    380.62/570.34 = 311.86/x
  3. Step 3: Cross multiply
    380.62x = 570.34 × 311.86
  4. Step 4: Simplify right side
    380.62x = 177,866.23
  5. Step 5: Solve for x
    x = 177,866.23/380.62
  6. Step 6: Final answer
    x = 467.31

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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.