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Finding the Fourth Proportional to 375.90, 565.20 and 367.80

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Solution

The fourth proportional to 375.90, 565.20 and 367.80 is: 553.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.90 : 565.20 = 367.80 : x
  2. Step 2: Convert to fraction form
    375.90/565.20 = 367.80/x
  3. Step 3: Cross multiply
    375.90x = 565.20 × 367.80
  4. Step 4: Simplify right side
    375.90x = 207,880.56
  5. Step 5: Solve for x
    x = 207,880.56/375.90
  6. Step 6: Final answer
    x = 553.02

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