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Finding the Fourth Proportional to 412.25, 567.81 and 324.77

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Solution

The fourth proportional to 412.25, 567.81 and 324.77 is: 447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.25 : 567.81 = 324.77 : x
  2. Step 2: Convert to fraction form
    412.25/567.81 = 324.77/x
  3. Step 3: Cross multiply
    412.25x = 567.81 × 324.77
  4. Step 4: Simplify right side
    412.25x = 184,407.65
  5. Step 5: Solve for x
    x = 184,407.65/412.25
  6. Step 6: Final answer
    x = 447.32

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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.