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Finding the Fourth Proportional to 426.24, 640.42 and 272.23

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Solution

The fourth proportional to 426.24, 640.42 and 272.23 is: 409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.24 : 640.42 = 272.23 : x
  2. Step 2: Convert to fraction form
    426.24/640.42 = 272.23/x
  3. Step 3: Cross multiply
    426.24x = 640.42 × 272.23
  4. Step 4: Simplify right side
    426.24x = 174,339.25
  5. Step 5: Solve for x
    x = 174,339.25/426.24
  6. Step 6: Final answer
    x = 409.02

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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.