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Finding the Fourth Proportional to 380.65, 571.11 and 320.44

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Solution

The fourth proportional to 380.65, 571.11 and 320.44 is: 480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.65 : 571.11 = 320.44 : x
  2. Step 2: Convert to fraction form
    380.65/571.11 = 320.44/x
  3. Step 3: Cross multiply
    380.65x = 571.11 × 320.44
  4. Step 4: Simplify right side
    380.65x = 183,006.49
  5. Step 5: Solve for x
    x = 183,006.49/380.65
  6. Step 6: Final answer
    x = 480.77

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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.