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Finding the Fourth Proportional to 389.12, 580.80 and 350.24

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Solution

The fourth proportional to 389.12, 580.80 and 350.24 is: 522.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.12 : 580.80 = 350.24 : x
  2. Step 2: Convert to fraction form
    389.12/580.80 = 350.24/x
  3. Step 3: Cross multiply
    389.12x = 580.80 × 350.24
  4. Step 4: Simplify right side
    389.12x = 203,419.39
  5. Step 5: Solve for x
    x = 203,419.39/389.12
  6. Step 6: Final answer
    x = 522.77

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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.