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Finding the Fourth Proportional to 304.09, 419.51 and 234.02

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Solution

The fourth proportional to 304.09, 419.51 and 234.02 is: 322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.09 : 419.51 = 234.02 : x
  2. Step 2: Convert to fraction form
    304.09/419.51 = 234.02/x
  3. Step 3: Cross multiply
    304.09x = 419.51 × 234.02
  4. Step 4: Simplify right side
    304.09x = 98,172.56
  5. Step 5: Solve for x
    x = 98,172.56/304.09
  6. Step 6: Final answer
    x = 322.85

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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.