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Finding the Fourth Proportional to 389.51, 583.40 and 194.20

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Solution

The fourth proportional to 389.51, 583.40 and 194.20 is: 290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.51 : 583.40 = 194.20 : x
  2. Step 2: Convert to fraction form
    389.51/583.40 = 194.20/x
  3. Step 3: Cross multiply
    389.51x = 583.40 × 194.20
  4. Step 4: Simplify right side
    389.51x = 113,295.31
  5. Step 5: Solve for x
    x = 113,295.31/389.51
  6. Step 6: Final answer
    x = 290.87

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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.