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Finding the Fourth Proportional to 339.80, 511.65 and 253.73

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Solution

The fourth proportional to 339.80, 511.65 and 253.73 is: 382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.80 : 511.65 = 253.73 : x
  2. Step 2: Convert to fraction form
    339.80/511.65 = 253.73/x
  3. Step 3: Cross multiply
    339.80x = 511.65 × 253.73
  4. Step 4: Simplify right side
    339.80x = 129,822.23
  5. Step 5: Solve for x
    x = 129,822.23/339.80
  6. Step 6: Final answer
    x = 382.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.