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Finding the Fourth Proportional to 538.86, 808.25 and 214.00

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Solution

The fourth proportional to 538.86, 808.25 and 214.00 is: 320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.86 : 808.25 = 214.00 : x
  2. Step 2: Convert to fraction form
    538.86/808.25 = 214.00/x
  3. Step 3: Cross multiply
    538.86x = 808.25 × 214.00
  4. Step 4: Simplify right side
    538.86x = 172,964.01
  5. Step 5: Solve for x
    x = 172,964.01/538.86
  6. Step 6: Final answer
    x = 320.98

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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.