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Finding the Fourth Proportional to 383.37, 571.96 and 380.63

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Solution

The fourth proportional to 383.37, 571.96 and 380.63 is: 567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.37 : 571.96 = 380.63 : x
  2. Step 2: Convert to fraction form
    383.37/571.96 = 380.63/x
  3. Step 3: Cross multiply
    383.37x = 571.96 × 380.63
  4. Step 4: Simplify right side
    383.37x = 217,707.04
  5. Step 5: Solve for x
    x = 217,707.04/383.37
  6. Step 6: Final answer
    x = 567.88

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Why These Related Problems?

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