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Finding the Fourth Proportional to 436.85, 654.98 and 205.61

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Solution

The fourth proportional to 436.85, 654.98 and 205.61 is: 308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.85 : 654.98 = 205.61 : x
  2. Step 2: Convert to fraction form
    436.85/654.98 = 205.61/x
  3. Step 3: Cross multiply
    436.85x = 654.98 × 205.61
  4. Step 4: Simplify right side
    436.85x = 134,666.13
  5. Step 5: Solve for x
    x = 134,666.13/436.85
  6. Step 6: Final answer
    x = 308.27

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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.