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Finding the Fourth Proportional to 609.21, 914.06 and 541.26

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Solution

The fourth proportional to 609.21, 914.06 and 541.26 is: 812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.21 : 914.06 = 541.26 : x
  2. Step 2: Convert to fraction form
    609.21/914.06 = 541.26/x
  3. Step 3: Cross multiply
    609.21x = 914.06 × 541.26
  4. Step 4: Simplify right side
    609.21x = 494,741.41
  5. Step 5: Solve for x
    x = 494,741.41/609.21
  6. Step 6: Final answer
    x = 812.10

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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.