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Finding the Fourth Proportional to 412.92, 569.80 and 238.24

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Solution

The fourth proportional to 412.92, 569.80 and 238.24 is: 328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.92 : 569.80 = 238.24 : x
  2. Step 2: Convert to fraction form
    412.92/569.80 = 238.24/x
  3. Step 3: Cross multiply
    412.92x = 569.80 × 238.24
  4. Step 4: Simplify right side
    412.92x = 135,749.15
  5. Step 5: Solve for x
    x = 135,749.15/412.92
  6. Step 6: Final answer
    x = 328.75

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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.