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Finding the Fourth Proportional to 389.06, 583.61 and 115.14

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Solution

The fourth proportional to 389.06, 583.61 and 115.14 is: 172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.06 : 583.61 = 115.14 : x
  2. Step 2: Convert to fraction form
    389.06/583.61 = 115.14/x
  3. Step 3: Cross multiply
    389.06x = 583.61 × 115.14
  4. Step 4: Simplify right side
    389.06x = 67,198.47
  5. Step 5: Solve for x
    x = 67,198.47/389.06
  6. Step 6: Final answer
    x = 172.72

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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.