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Finding the Fourth Proportional to 436.53, 655.23 and 205.59

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Solution

The fourth proportional to 436.53, 655.23 and 205.59 is: 308.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.53 : 655.23 = 205.59 : x
  2. Step 2: Convert to fraction form
    436.53/655.23 = 205.59/x
  3. Step 3: Cross multiply
    436.53x = 655.23 × 205.59
  4. Step 4: Simplify right side
    436.53x = 134,708.74
  5. Step 5: Solve for x
    x = 134,708.74/436.53
  6. Step 6: Final answer
    x = 308.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.