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Finding the Fourth Proportional to 304.21, 420.01 and 234.14

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Solution

The fourth proportional to 304.21, 420.01 and 234.14 is: 323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.21 : 420.01 = 234.14 : x
  2. Step 2: Convert to fraction form
    304.21/420.01 = 234.14/x
  3. Step 3: Cross multiply
    304.21x = 420.01 × 234.14
  4. Step 4: Simplify right side
    304.21x = 98,341.14
  5. Step 5: Solve for x
    x = 98,341.14/304.21
  6. Step 6: Final answer
    x = 323.27

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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.