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Finding the Fourth Proportional to 406.50, 610.16 and 214.13

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Solution

The fourth proportional to 406.50, 610.16 and 214.13 is: 321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.50 : 610.16 = 214.13 : x
  2. Step 2: Convert to fraction form
    406.50/610.16 = 214.13/x
  3. Step 3: Cross multiply
    406.50x = 610.16 × 214.13
  4. Step 4: Simplify right side
    406.50x = 130,649.44
  5. Step 5: Solve for x
    x = 130,649.44/406.50
  6. Step 6: Final answer
    x = 321.40

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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.