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Finding the Fourth Proportional to 436, 654.30 and 179.50

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Solution

The fourth proportional to 436, 654.30 and 179.50 is: 269.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    436 : 654.30 = 179.50 : x
  2. Step 2: Convert to fraction form
    436/654.30 = 179.50/x
  3. Step 3: Cross multiply
    436x = 654.30 × 179.50
  4. Step 4: Simplify right side
    436x = 117,446.85
  5. Step 5: Solve for x
    x = 117,446.85/436
  6. Step 6: Final answer
    x = 269.37

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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.