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Finding the Fourth Proportional to 590.24, 885.44 and 205.76

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Solution

The fourth proportional to 590.24, 885.44 and 205.76 is: 308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.24 : 885.44 = 205.76 : x
  2. Step 2: Convert to fraction form
    590.24/885.44 = 205.76/x
  3. Step 3: Cross multiply
    590.24x = 885.44 × 205.76
  4. Step 4: Simplify right side
    590.24x = 182,188.13
  5. Step 5: Solve for x
    x = 182,188.13/590.24
  6. Step 6: Final answer
    x = 308.67

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