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Finding the Fourth Proportional to 393.16, 589.26 and 345.16

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Solution

The fourth proportional to 393.16, 589.26 and 345.16 is: 517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.16 : 589.26 = 345.16 : x
  2. Step 2: Convert to fraction form
    393.16/589.26 = 345.16/x
  3. Step 3: Cross multiply
    393.16x = 589.26 × 345.16
  4. Step 4: Simplify right side
    393.16x = 203,388.98
  5. Step 5: Solve for x
    x = 203,388.98/393.16
  6. Step 6: Final answer
    x = 517.32

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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.