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Finding the Fourth Proportional to 436.63, 655.34 and 205.66

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Solution

The fourth proportional to 436.63, 655.34 and 205.66 is: 308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.63 : 655.34 = 205.66 : x
  2. Step 2: Convert to fraction form
    436.63/655.34 = 205.66/x
  3. Step 3: Cross multiply
    436.63x = 655.34 × 205.66
  4. Step 4: Simplify right side
    436.63x = 134,777.22
  5. Step 5: Solve for x
    x = 134,777.22/436.63
  6. Step 6: Final answer
    x = 308.68

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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.