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Finding the Fourth Proportional to 420.99, 581.09 and 273.65

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Solution

The fourth proportional to 420.99, 581.09 and 273.65 is: 377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.99 : 581.09 = 273.65 : x
  2. Step 2: Convert to fraction form
    420.99/581.09 = 273.65/x
  3. Step 3: Cross multiply
    420.99x = 581.09 × 273.65
  4. Step 4: Simplify right side
    420.99x = 159,015.28
  5. Step 5: Solve for x
    x = 159,015.28/420.99
  6. Step 6: Final answer
    x = 377.72

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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.