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Finding the Fourth Proportional to 304.13, 420.03 and 217.26

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Solution

The fourth proportional to 304.13, 420.03 and 217.26 is: 300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.13 : 420.03 = 217.26 : x
  2. Step 2: Convert to fraction form
    304.13/420.03 = 217.26/x
  3. Step 3: Cross multiply
    304.13x = 420.03 × 217.26
  4. Step 4: Simplify right side
    304.13x = 91,255.72
  5. Step 5: Solve for x
    x = 91,255.72/304.13
  6. Step 6: Final answer
    x = 300.06

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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.