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Finding the Fourth Proportional to 378, 522.05 and 230.99

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Solution

The fourth proportional to 378, 522.05 and 230.99 is: 319.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378 : 522.05 = 230.99 : x
  2. Step 2: Convert to fraction form
    378/522.05 = 230.99/x
  3. Step 3: Cross multiply
    378x = 522.05 × 230.99
  4. Step 4: Simplify right side
    378x = 120,584.56
  5. Step 5: Solve for x
    x = 120,584.56/378
  6. Step 6: Final answer
    x = 319.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.