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Finding the Fourth Proportional to 389.75, 538.06 and 273.52

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Solution

The fourth proportional to 389.75, 538.06 and 273.52 is: 377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.75 : 538.06 = 273.52 : x
  2. Step 2: Convert to fraction form
    389.75/538.06 = 273.52/x
  3. Step 3: Cross multiply
    389.75x = 538.06 × 273.52
  4. Step 4: Simplify right side
    389.75x = 147,170.17
  5. Step 5: Solve for x
    x = 147,170.17/389.75
  6. Step 6: Final answer
    x = 377.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.