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Finding the Fourth Proportional to 538.96, 808.64 and 230.80

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Solution

The fourth proportional to 538.96, 808.64 and 230.80 is: 346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.96 : 808.64 = 230.80 : x
  2. Step 2: Convert to fraction form
    538.96/808.64 = 230.80/x
  3. Step 3: Cross multiply
    538.96x = 808.64 × 230.80
  4. Step 4: Simplify right side
    538.96x = 186,634.11
  5. Step 5: Solve for x
    x = 186,634.11/538.96
  6. Step 6: Final answer
    x = 346.29

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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.