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Finding the Fourth Proportional to 408.81, 562.77 and 310.26

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Solution

The fourth proportional to 408.81, 562.77 and 310.26 is: 427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.81 : 562.77 = 310.26 : x
  2. Step 2: Convert to fraction form
    408.81/562.77 = 310.26/x
  3. Step 3: Cross multiply
    408.81x = 562.77 × 310.26
  4. Step 4: Simplify right side
    408.81x = 174,605.02
  5. Step 5: Solve for x
    x = 174,605.02/408.81
  6. Step 6: Final answer
    x = 427.11

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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.