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Finding the Fourth Proportional to 406.70, 609.82 and 143.02

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Solution

The fourth proportional to 406.70, 609.82 and 143.02 is: 214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.70 : 609.82 = 143.02 : x
  2. Step 2: Convert to fraction form
    406.70/609.82 = 143.02/x
  3. Step 3: Cross multiply
    406.70x = 609.82 × 143.02
  4. Step 4: Simplify right side
    406.70x = 87,214.57
  5. Step 5: Solve for x
    x = 87,214.57/406.70
  6. Step 6: Final answer
    x = 214.45

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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.