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Finding the Fourth Proportional to 586.81, 809.14 and 365.48

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Solution

The fourth proportional to 586.81, 809.14 and 365.48 is: 503.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.81 : 809.14 = 365.48 : x
  2. Step 2: Convert to fraction form
    586.81/809.14 = 365.48/x
  3. Step 3: Cross multiply
    586.81x = 809.14 × 365.48
  4. Step 4: Simplify right side
    586.81x = 295,723.25
  5. Step 5: Solve for x
    x = 295,723.25/586.81
  6. Step 6: Final answer
    x = 503.95

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