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Finding the Fourth Proportional to 381.81, 571.80 and 375.13

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Solution

The fourth proportional to 381.81, 571.80 and 375.13 is: 561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.81 : 571.80 = 375.13 : x
  2. Step 2: Convert to fraction form
    381.81/571.80 = 375.13/x
  3. Step 3: Cross multiply
    381.81x = 571.80 × 375.13
  4. Step 4: Simplify right side
    381.81x = 214,499.35
  5. Step 5: Solve for x
    x = 214,499.35/381.81
  6. Step 6: Final answer
    x = 561.79

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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.