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Finding the Fourth Proportional to 389.22, 540.86 and 385.26

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Solution

The fourth proportional to 389.22, 540.86 and 385.26 is: 535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.22 : 540.86 = 385.26 : x
  2. Step 2: Convert to fraction form
    389.22/540.86 = 385.26/x
  3. Step 3: Cross multiply
    389.22x = 540.86 × 385.26
  4. Step 4: Simplify right side
    389.22x = 208,371.72
  5. Step 5: Solve for x
    x = 208,371.72/389.22
  6. Step 6: Final answer
    x = 535.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.