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Finding the Fourth Proportional to 427.08, 640.74 and 324.48

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Solution

The fourth proportional to 427.08, 640.74 and 324.48 is: 486.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.08 : 640.74 = 324.48 : x
  2. Step 2: Convert to fraction form
    427.08/640.74 = 324.48/x
  3. Step 3: Cross multiply
    427.08x = 640.74 × 324.48
  4. Step 4: Simplify right side
    427.08x = 207,907.32
  5. Step 5: Solve for x
    x = 207,907.32/427.08
  6. Step 6: Final answer
    x = 486.81

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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.