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Finding the Fourth Proportional to 356.80, 534.39 and 279.28

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Solution

The fourth proportional to 356.80, 534.39 and 279.28 is: 418.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.80 : 534.39 = 279.28 : x
  2. Step 2: Convert to fraction form
    356.80/534.39 = 279.28/x
  3. Step 3: Cross multiply
    356.80x = 534.39 × 279.28
  4. Step 4: Simplify right side
    356.80x = 149,244.44
  5. Step 5: Solve for x
    x = 149,244.44/356.80
  6. Step 6: Final answer
    x = 418.29

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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.