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Finding the Fourth Proportional to 412.73, 569.53 and 238.09

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Solution

The fourth proportional to 412.73, 569.53 and 238.09 is: 328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.73 : 569.53 = 238.09 : x
  2. Step 2: Convert to fraction form
    412.73/569.53 = 238.09/x
  3. Step 3: Cross multiply
    412.73x = 569.53 × 238.09
  4. Step 4: Simplify right side
    412.73x = 135,599.40
  5. Step 5: Solve for x
    x = 135,599.40/412.73
  6. Step 6: Final answer
    x = 328.54

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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.