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Finding the Fourth Proportional to 585.74, 807.95 and 375.70

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Solution

The fourth proportional to 585.74, 807.95 and 375.70 is: 518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.74 : 807.95 = 375.70 : x
  2. Step 2: Convert to fraction form
    585.74/807.95 = 375.70/x
  3. Step 3: Cross multiply
    585.74x = 807.95 × 375.70
  4. Step 4: Simplify right side
    585.74x = 303,542.78
  5. Step 5: Solve for x
    x = 303,542.78/585.74
  6. Step 6: Final answer
    x = 518.22

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