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Finding the Fourth Proportional to 406.83, 610.52 and 214.59

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Solution

The fourth proportional to 406.83, 610.52 and 214.59 is: 322.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.83 : 610.52 = 214.59 : x
  2. Step 2: Convert to fraction form
    406.83/610.52 = 214.59/x
  3. Step 3: Cross multiply
    406.83x = 610.52 × 214.59
  4. Step 4: Simplify right side
    406.83x = 131,010.41
  5. Step 5: Solve for x
    x = 131,010.41/406.83
  6. Step 6: Final answer
    x = 322.03

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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.