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Finding the Fourth Proportional to 412.89, 569.76 and 238.26

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Solution

The fourth proportional to 412.89, 569.76 and 238.26 is: 328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.89 : 569.76 = 238.26 : x
  2. Step 2: Convert to fraction form
    412.89/569.76 = 238.26/x
  3. Step 3: Cross multiply
    412.89x = 569.76 × 238.26
  4. Step 4: Simplify right side
    412.89x = 135,751.02
  5. Step 5: Solve for x
    x = 135,751.02/412.89
  6. Step 6: Final answer
    x = 328.78

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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.