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Finding the Fourth Proportional to 389.64, 537.66 and 273.24

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Solution

The fourth proportional to 389.64, 537.66 and 273.24 is: 377.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.64 : 537.66 = 273.24 : x
  2. Step 2: Convert to fraction form
    389.64/537.66 = 273.24/x
  3. Step 3: Cross multiply
    389.64x = 537.66 × 273.24
  4. Step 4: Simplify right side
    389.64x = 146,910.22
  5. Step 5: Solve for x
    x = 146,910.22/389.64
  6. Step 6: Final answer
    x = 377.04

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