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Finding the Fourth Proportional to 322.98, 445.41 and 279.06

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Solution

The fourth proportional to 322.98, 445.41 and 279.06 is: 384.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.98 : 445.41 = 279.06 : x
  2. Step 2: Convert to fraction form
    322.98/445.41 = 279.06/x
  3. Step 3: Cross multiply
    322.98x = 445.41 × 279.06
  4. Step 4: Simplify right side
    322.98x = 124,296.11
  5. Step 5: Solve for x
    x = 124,296.11/322.98
  6. Step 6: Final answer
    x = 384.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.