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Finding the Fourth Proportional to 408.50, 562.74 and 310.16

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Solution

The fourth proportional to 408.50, 562.74 and 310.16 is: 427.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.50 : 562.74 = 310.16 : x
  2. Step 2: Convert to fraction form
    408.50/562.74 = 310.16/x
  3. Step 3: Cross multiply
    408.50x = 562.74 × 310.16
  4. Step 4: Simplify right side
    408.50x = 174,539.44
  5. Step 5: Solve for x
    x = 174,539.44/408.50
  6. Step 6: Final answer
    x = 427.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.