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Finding the Fourth Proportional to 538.30, 808.10 and 343.30

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Solution

The fourth proportional to 538.30, 808.10 and 343.30 is: 515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.30 : 808.10 = 343.30 : x
  2. Step 2: Convert to fraction form
    538.30/808.10 = 343.30/x
  3. Step 3: Cross multiply
    538.30x = 808.10 × 343.30
  4. Step 4: Simplify right side
    538.30x = 277,420.73
  5. Step 5: Solve for x
    x = 277,420.73/538.30
  6. Step 6: Final answer
    x = 515.36

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