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Finding the Fourth Proportional to 436.87, 655.45 and 205.93

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Solution

The fourth proportional to 436.87, 655.45 and 205.93 is: 308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.87 : 655.45 = 205.93 : x
  2. Step 2: Convert to fraction form
    436.87/655.45 = 205.93/x
  3. Step 3: Cross multiply
    436.87x = 655.45 × 205.93
  4. Step 4: Simplify right side
    436.87x = 134,975.79
  5. Step 5: Solve for x
    x = 134,975.79/436.87
  6. Step 6: Final answer
    x = 308.96

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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.