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Finding the Fourth Proportional to 393.83, 589.83 and 380.16

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Solution

The fourth proportional to 393.83, 589.83 and 380.16 is: 569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.83 : 589.83 = 380.16 : x
  2. Step 2: Convert to fraction form
    393.83/589.83 = 380.16/x
  3. Step 3: Cross multiply
    393.83x = 589.83 × 380.16
  4. Step 4: Simplify right side
    393.83x = 224,229.77
  5. Step 5: Solve for x
    x = 224,229.77/393.83
  6. Step 6: Final answer
    x = 569.36

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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.