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Finding the Fourth Proportional to 434.53, 650.67 and 272.33

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Solution

The fourth proportional to 434.53, 650.67 and 272.33 is: 407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.53 : 650.67 = 272.33 : x
  2. Step 2: Convert to fraction form
    434.53/650.67 = 272.33/x
  3. Step 3: Cross multiply
    434.53x = 650.67 × 272.33
  4. Step 4: Simplify right side
    434.53x = 177,196.96
  5. Step 5: Solve for x
    x = 177,196.96/434.53
  6. Step 6: Final answer
    x = 407.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.