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Finding the Fourth Proportional to 434.74, 652.26 and 272.23

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Solution

The fourth proportional to 434.74, 652.26 and 272.23 is: 408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.74 : 652.26 = 272.23 : x
  2. Step 2: Convert to fraction form
    434.74/652.26 = 272.23/x
  3. Step 3: Cross multiply
    434.74x = 652.26 × 272.23
  4. Step 4: Simplify right side
    434.74x = 177,564.74
  5. Step 5: Solve for x
    x = 177,564.74/434.74
  6. Step 6: Final answer
    x = 408.44

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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.