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Finding the Fourth Proportional to 304.19, 455.39 and 272.91

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Solution

The fourth proportional to 304.19, 455.39 and 272.91 is: 408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.19 : 455.39 = 272.91 : x
  2. Step 2: Convert to fraction form
    304.19/455.39 = 272.91/x
  3. Step 3: Cross multiply
    304.19x = 455.39 × 272.91
  4. Step 4: Simplify right side
    304.19x = 124,279.12
  5. Step 5: Solve for x
    x = 124,279.12/304.19
  6. Step 6: Final answer
    x = 408.56

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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.