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Finding the Fourth Proportional to 596.36, 892.22 and 390.22

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Solution

The fourth proportional to 596.36, 892.22 and 390.22 is: 583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.36 : 892.22 = 390.22 : x
  2. Step 2: Convert to fraction form
    596.36/892.22 = 390.22/x
  3. Step 3: Cross multiply
    596.36x = 892.22 × 390.22
  4. Step 4: Simplify right side
    596.36x = 348,157.91
  5. Step 5: Solve for x
    x = 348,157.91/596.36
  6. Step 6: Final answer
    x = 583.80

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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.