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Finding the Fourth Proportional to 378, 521.59 and 245.41

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Solution

The fourth proportional to 378, 521.59 and 245.41 is: 338.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378 : 521.59 = 245.41 : x
  2. Step 2: Convert to fraction form
    378/521.59 = 245.41/x
  3. Step 3: Cross multiply
    378x = 521.59 × 245.41
  4. Step 4: Simplify right side
    378x = 128,003.40
  5. Step 5: Solve for x
    x = 128,003.40/378
  6. Step 6: Final answer
    x = 338.63

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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.