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Finding the Fourth Proportional to 335.18, 461.22 and 279.74

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Solution

The fourth proportional to 335.18, 461.22 and 279.74 is: 384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.18 : 461.22 = 279.74 : x
  2. Step 2: Convert to fraction form
    335.18/461.22 = 279.74/x
  3. Step 3: Cross multiply
    335.18x = 461.22 × 279.74
  4. Step 4: Simplify right side
    335.18x = 129,021.68
  5. Step 5: Solve for x
    x = 129,021.68/335.18
  6. Step 6: Final answer
    x = 384.93

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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.