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Finding the Fourth Proportional to 304.98, 420.93 and 234.89

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Solution

The fourth proportional to 304.98, 420.93 and 234.89 is: 324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.98 : 420.93 = 234.89 : x
  2. Step 2: Convert to fraction form
    304.98/420.93 = 234.89/x
  3. Step 3: Cross multiply
    304.98x = 420.93 × 234.89
  4. Step 4: Simplify right side
    304.98x = 98,872.25
  5. Step 5: Solve for x
    x = 98,872.25/304.98
  6. Step 6: Final answer
    x = 324.19

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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.