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Finding the Fourth Proportional to 393.37, 589.62 and 210.31

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Solution

The fourth proportional to 393.37, 589.62 and 210.31 is: 315.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.37 : 589.62 = 210.31 : x
  2. Step 2: Convert to fraction form
    393.37/589.62 = 210.31/x
  3. Step 3: Cross multiply
    393.37x = 589.62 × 210.31
  4. Step 4: Simplify right side
    393.37x = 124,000.03
  5. Step 5: Solve for x
    x = 124,000.03/393.37
  6. Step 6: Final answer
    x = 315.23

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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.