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Finding the Fourth Proportional to 389.03, 583.63 and 129.04

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Solution

The fourth proportional to 389.03, 583.63 and 129.04 is: 193.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.03 : 583.63 = 129.04 : x
  2. Step 2: Convert to fraction form
    389.03/583.63 = 129.04/x
  3. Step 3: Cross multiply
    389.03x = 583.63 × 129.04
  4. Step 4: Simplify right side
    389.03x = 75,309.83
  5. Step 5: Solve for x
    x = 75,309.83/389.03
  6. Step 6: Final answer
    x = 193.59

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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.