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Finding the Fourth Proportional to 380.16, 571.32 and 370.44

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Solution

The fourth proportional to 380.16, 571.32 and 370.44 is: 556.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.16 : 571.32 = 370.44 : x
  2. Step 2: Convert to fraction form
    380.16/571.32 = 370.44/x
  3. Step 3: Cross multiply
    380.16x = 571.32 × 370.44
  4. Step 4: Simplify right side
    380.16x = 211,639.78
  5. Step 5: Solve for x
    x = 211,639.78/380.16
  6. Step 6: Final answer
    x = 556.71

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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.