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Finding the Fourth Proportional to 412.75, 569.60 and 238.06

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Solution

The fourth proportional to 412.75, 569.60 and 238.06 is: 328.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.75 : 569.60 = 238.06 : x
  2. Step 2: Convert to fraction form
    412.75/569.60 = 238.06/x
  3. Step 3: Cross multiply
    412.75x = 569.60 × 238.06
  4. Step 4: Simplify right side
    412.75x = 135,598.98
  5. Step 5: Solve for x
    x = 135,598.98/412.75
  6. Step 6: Final answer
    x = 328.53

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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.