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Finding the Fourth Proportional to 393.60, 589.76 and 360.43

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Solution

The fourth proportional to 393.60, 589.76 and 360.43 is: 540.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.60 : 589.76 = 360.43 : x
  2. Step 2: Convert to fraction form
    393.60/589.76 = 360.43/x
  3. Step 3: Cross multiply
    393.60x = 589.76 × 360.43
  4. Step 4: Simplify right side
    393.60x = 212,563.92
  5. Step 5: Solve for x
    x = 212,563.92/393.60
  6. Step 6: Final answer
    x = 540.05

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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.