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Finding the Fourth Proportional to 380.58, 524.42 and 375.54

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Solution

The fourth proportional to 380.58, 524.42 and 375.54 is: 517.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.58 : 524.42 = 375.54 : x
  2. Step 2: Convert to fraction form
    380.58/524.42 = 375.54/x
  3. Step 3: Cross multiply
    380.58x = 524.42 × 375.54
  4. Step 4: Simplify right side
    380.58x = 196,940.69
  5. Step 5: Solve for x
    x = 196,940.69/380.58
  6. Step 6: Final answer
    x = 517.48

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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.