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Finding the Fourth Proportional to 324.50, 448.00 and 214.16

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Solution

The fourth proportional to 324.50, 448.00 and 214.16 is: 295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.50 : 448.00 = 214.16 : x
  2. Step 2: Convert to fraction form
    324.50/448.00 = 214.16/x
  3. Step 3: Cross multiply
    324.50x = 448.00 × 214.16
  4. Step 4: Simplify right side
    324.50x = 95,940.90
  5. Step 5: Solve for x
    x = 95,940.90/324.50
  6. Step 6: Final answer
    x = 295.66

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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.