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Finding the Fourth Proportional to 523.43, 784.94 and 393.62

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Solution

The fourth proportional to 523.43, 784.94 and 393.62 is: 590.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.43 : 784.94 = 393.62 : x
  2. Step 2: Convert to fraction form
    523.43/784.94 = 393.62/x
  3. Step 3: Cross multiply
    523.43x = 784.94 × 393.62
  4. Step 4: Simplify right side
    523.43x = 308,968.08
  5. Step 5: Solve for x
    x = 308,968.08/523.43
  6. Step 6: Final answer
    x = 590.28

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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.