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Finding the Fourth Proportional to 540.26, 809.17 and 386.36

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Solution

The fourth proportional to 540.26, 809.17 and 386.36 is: 578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.26 : 809.17 = 386.36 : x
  2. Step 2: Convert to fraction form
    540.26/809.17 = 386.36/x
  3. Step 3: Cross multiply
    540.26x = 809.17 × 386.36
  4. Step 4: Simplify right side
    540.26x = 312,630.92
  5. Step 5: Solve for x
    x = 312,630.92/540.26
  6. Step 6: Final answer
    x = 578.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.