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Finding the Fourth Proportional to 565.91, 849.12 and 257.70

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Solution

The fourth proportional to 565.91, 849.12 and 257.70 is: 386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.91 : 849.12 = 257.70 : x
  2. Step 2: Convert to fraction form
    565.91/849.12 = 257.70/x
  3. Step 3: Cross multiply
    565.91x = 849.12 × 257.70
  4. Step 4: Simplify right side
    565.91x = 218,818.22
  5. Step 5: Solve for x
    x = 218,818.22/565.91
  6. Step 6: Final answer
    x = 386.67

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