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Finding the Fourth Proportional to 393.63, 541.97 and 357.18

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Solution

The fourth proportional to 393.63, 541.97 and 357.18 is: 491.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.63 : 541.97 = 357.18 : x
  2. Step 2: Convert to fraction form
    393.63/541.97 = 357.18/x
  3. Step 3: Cross multiply
    393.63x = 541.97 × 357.18
  4. Step 4: Simplify right side
    393.63x = 193,583.54
  5. Step 5: Solve for x
    x = 193,583.54/393.63
  6. Step 6: Final answer
    x = 491.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.