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Finding the Fourth Proportional to 375.19, 520.41 and 365.20

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Solution

The fourth proportional to 375.19, 520.41 and 365.20 is: 506.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.19 : 520.41 = 365.20 : x
  2. Step 2: Convert to fraction form
    375.19/520.41 = 365.20/x
  3. Step 3: Cross multiply
    375.19x = 520.41 × 365.20
  4. Step 4: Simplify right side
    375.19x = 190,053.73
  5. Step 5: Solve for x
    x = 190,053.73/375.19
  6. Step 6: Final answer
    x = 506.55

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.