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Finding the Fourth Proportional to 304.00, 419.13 and 233.19

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Solution

The fourth proportional to 304.00, 419.13 and 233.19 is: 321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.00 : 419.13 = 233.19 : x
  2. Step 2: Convert to fraction form
    304.00/419.13 = 233.19/x
  3. Step 3: Cross multiply
    304.00x = 419.13 × 233.19
  4. Step 4: Simplify right side
    304.00x = 97,736.23
  5. Step 5: Solve for x
    x = 97,736.23/304.00
  6. Step 6: Final answer
    x = 321.50

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Why These Related Problems?

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