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Finding the Fourth Proportional to 436.20, 654.11 and 205.17

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Solution

The fourth proportional to 436.20, 654.11 and 205.17 is: 307.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.20 : 654.11 = 205.17 : x
  2. Step 2: Convert to fraction form
    436.20/654.11 = 205.17/x
  3. Step 3: Cross multiply
    436.20x = 654.11 × 205.17
  4. Step 4: Simplify right side
    436.20x = 134,203.75
  5. Step 5: Solve for x
    x = 134,203.75/436.20
  6. Step 6: Final answer
    x = 307.67

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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.