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Finding the Fourth Proportional to 538.84, 808.67 and 214.23

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Solution

The fourth proportional to 538.84, 808.67 and 214.23 is: 321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.84 : 808.67 = 214.23 : x
  2. Step 2: Convert to fraction form
    538.84/808.67 = 214.23/x
  3. Step 3: Cross multiply
    538.84x = 808.67 × 214.23
  4. Step 4: Simplify right side
    538.84x = 173,241.37
  5. Step 5: Solve for x
    x = 173,241.37/538.84
  6. Step 6: Final answer
    x = 321.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.