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Finding the Fourth Proportional to 406.68, 610.14 and 214.26

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Solution

The fourth proportional to 406.68, 610.14 and 214.26 is: 321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.68 : 610.14 = 214.26 : x
  2. Step 2: Convert to fraction form
    406.68/610.14 = 214.26/x
  3. Step 3: Cross multiply
    406.68x = 610.14 × 214.26
  4. Step 4: Simplify right side
    406.68x = 130,728.60
  5. Step 5: Solve for x
    x = 130,728.60/406.68
  6. Step 6: Final answer
    x = 321.45

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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.