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Finding the Fourth Proportional to 412.94, 569.31 and 324.24

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Solution

The fourth proportional to 412.94, 569.31 and 324.24 is: 447.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.94 : 569.31 = 324.24 : x
  2. Step 2: Convert to fraction form
    412.94/569.31 = 324.24/x
  3. Step 3: Cross multiply
    412.94x = 569.31 × 324.24
  4. Step 4: Simplify right side
    412.94x = 184,593.07
  5. Step 5: Solve for x
    x = 184,593.07/412.94
  6. Step 6: Final answer
    x = 447.03

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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.