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Finding the Fourth Proportional to 406.42, 609.43 and 211.41

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Solution

The fourth proportional to 406.42, 609.43 and 211.41 is: 317.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.42 : 609.43 = 211.41 : x
  2. Step 2: Convert to fraction form
    406.42/609.43 = 211.41/x
  3. Step 3: Cross multiply
    406.42x = 609.43 × 211.41
  4. Step 4: Simplify right side
    406.42x = 128,838.94
  5. Step 5: Solve for x
    x = 128,838.94/406.42
  6. Step 6: Final answer
    x = 317.01

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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.