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Finding the Fourth Proportional to 434.28, 650.83 and 280.13

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Solution

The fourth proportional to 434.28, 650.83 and 280.13 is: 419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.28 : 650.83 = 280.13 : x
  2. Step 2: Convert to fraction form
    434.28/650.83 = 280.13/x
  3. Step 3: Cross multiply
    434.28x = 650.83 × 280.13
  4. Step 4: Simplify right side
    434.28x = 182,314.37
  5. Step 5: Solve for x
    x = 182,314.37/434.28
  6. Step 6: Final answer
    x = 419.81

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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.