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Finding the Fourth Proportional to 389.57, 583.62 and 235.61

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Solution

The fourth proportional to 389.57, 583.62 and 235.61 is: 352.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.57 : 583.62 = 235.61 : x
  2. Step 2: Convert to fraction form
    389.57/583.62 = 235.61/x
  3. Step 3: Cross multiply
    389.57x = 583.62 × 235.61
  4. Step 4: Simplify right side
    389.57x = 137,509.05
  5. Step 5: Solve for x
    x = 137,509.05/389.57
  6. Step 6: Final answer
    x = 352.97

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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.