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Finding the Fourth Proportional to 304.99, 420.93 and 222.37

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Solution

The fourth proportional to 304.99, 420.93 and 222.37 is: 306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.99 : 420.93 = 222.37 : x
  2. Step 2: Convert to fraction form
    304.99/420.93 = 222.37/x
  3. Step 3: Cross multiply
    304.99x = 420.93 × 222.37
  4. Step 4: Simplify right side
    304.99x = 93,602.20
  5. Step 5: Solve for x
    x = 93,602.20/304.99
  6. Step 6: Final answer
    x = 306.90

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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.