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Finding the Fourth Proportional to 585.09, 806.90 and 375.30

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Solution

The fourth proportional to 585.09, 806.90 and 375.30 is: 517.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.09 : 806.90 = 375.30 : x
  2. Step 2: Convert to fraction form
    585.09/806.90 = 375.30/x
  3. Step 3: Cross multiply
    585.09x = 806.90 × 375.30
  4. Step 4: Simplify right side
    585.09x = 302,827.69
  5. Step 5: Solve for x
    x = 302,827.69/585.09
  6. Step 6: Final answer
    x = 517.57

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