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Finding the Fourth Proportional to 324.94, 448.32 and 214.39

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Solution

The fourth proportional to 324.94, 448.32 and 214.39 is: 295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.94 : 448.32 = 214.39 : x
  2. Step 2: Convert to fraction form
    324.94/448.32 = 214.39/x
  3. Step 3: Cross multiply
    324.94x = 448.32 × 214.39
  4. Step 4: Simplify right side
    324.94x = 96,115.32
  5. Step 5: Solve for x
    x = 96,115.32/324.94
  6. Step 6: Final answer
    x = 295.79

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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.