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Finding the Fourth Proportional to 393.96, 540.15 and 365.52

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Solution

The fourth proportional to 393.96, 540.15 and 365.52 is: 501.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.96 : 540.15 = 365.52 : x
  2. Step 2: Convert to fraction form
    393.96/540.15 = 365.52/x
  3. Step 3: Cross multiply
    393.96x = 540.15 × 365.52
  4. Step 4: Simplify right side
    393.96x = 197,435.63
  5. Step 5: Solve for x
    x = 197,435.63/393.96
  6. Step 6: Final answer
    x = 501.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.