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Finding the Fourth Proportional to 393.58, 589.15 and 335.26

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Solution

The fourth proportional to 393.58, 589.15 and 335.26 is: 501.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.58 : 589.15 = 335.26 : x
  2. Step 2: Convert to fraction form
    393.58/589.15 = 335.26/x
  3. Step 3: Cross multiply
    393.58x = 589.15 × 335.26
  4. Step 4: Simplify right side
    393.58x = 197,518.43
  5. Step 5: Solve for x
    x = 197,518.43/393.58
  6. Step 6: Final answer
    x = 501.85

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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.