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Finding the Fourth Proportional to 538.83, 808.41 and 214.02

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Solution

The fourth proportional to 538.83, 808.41 and 214.02 is: 321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.83 : 808.41 = 214.02 : x
  2. Step 2: Convert to fraction form
    538.83/808.41 = 214.02/x
  3. Step 3: Cross multiply
    538.83x = 808.41 × 214.02
  4. Step 4: Simplify right side
    538.83x = 173,015.91
  5. Step 5: Solve for x
    x = 173,015.91/538.83
  6. Step 6: Final answer
    x = 321.10

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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.