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Finding the Fourth Proportional to 358.56, 538.22 and 272.45

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Solution

The fourth proportional to 358.56, 538.22 and 272.45 is: 408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.56 : 538.22 = 272.45 : x
  2. Step 2: Convert to fraction form
    358.56/538.22 = 272.45/x
  3. Step 3: Cross multiply
    358.56x = 538.22 × 272.45
  4. Step 4: Simplify right side
    358.56x = 146,638.04
  5. Step 5: Solve for x
    x = 146,638.04/358.56
  6. Step 6: Final answer
    x = 408.96

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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.