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Finding the Fourth Proportional to 389.02, 583.08 and 194.11

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Solution

The fourth proportional to 389.02, 583.08 and 194.11 is: 290.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.02 : 583.08 = 194.11 : x
  2. Step 2: Convert to fraction form
    389.02/583.08 = 194.11/x
  3. Step 3: Cross multiply
    389.02x = 583.08 × 194.11
  4. Step 4: Simplify right side
    389.02x = 113,181.66
  5. Step 5: Solve for x
    x = 113,181.66/389.02
  6. Step 6: Final answer
    x = 290.94

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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.