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Finding the Fourth Proportional to 394.24, 586.99 and 393.03

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Solution

The fourth proportional to 394.24, 586.99 and 393.03 is: 585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.24 : 586.99 = 393.03 : x
  2. Step 2: Convert to fraction form
    394.24/586.99 = 393.03/x
  3. Step 3: Cross multiply
    394.24x = 586.99 × 393.03
  4. Step 4: Simplify right side
    394.24x = 230,704.68
  5. Step 5: Solve for x
    x = 230,704.68/394.24
  6. Step 6: Final answer
    x = 585.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.