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Finding the Fourth Proportional to 389.97, 583.83 and 235.43

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Solution

The fourth proportional to 389.97, 583.83 and 235.43 is: 352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.97 : 583.83 = 235.43 : x
  2. Step 2: Convert to fraction form
    389.97/583.83 = 235.43/x
  3. Step 3: Cross multiply
    389.97x = 583.83 × 235.43
  4. Step 4: Simplify right side
    389.97x = 137,448.18
  5. Step 5: Solve for x
    x = 137,448.18/389.97
  6. Step 6: Final answer
    x = 352.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.