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Finding the Fourth Proportional to 304.69, 420.39 and 211.33

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Solution

The fourth proportional to 304.69, 420.39 and 211.33 is: 291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.69 : 420.39 = 211.33 : x
  2. Step 2: Convert to fraction form
    304.69/420.39 = 211.33/x
  3. Step 3: Cross multiply
    304.69x = 420.39 × 211.33
  4. Step 4: Simplify right side
    304.69x = 88,841.02
  5. Step 5: Solve for x
    x = 88,841.02/304.69
  6. Step 6: Final answer
    x = 291.58

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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.