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Finding the Fourth Proportional to 272.83, 406.33 and 263.26

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Solution

The fourth proportional to 272.83, 406.33 and 263.26 is: 392.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.83 : 406.33 = 263.26 : x
  2. Step 2: Convert to fraction form
    272.83/406.33 = 263.26/x
  3. Step 3: Cross multiply
    272.83x = 406.33 × 263.26
  4. Step 4: Simplify right side
    272.83x = 106,970.44
  5. Step 5: Solve for x
    x = 106,970.44/272.83
  6. Step 6: Final answer
    x = 392.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.