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Finding the Fourth Proportional to 436.74, 655.02 and 205.48

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Solution

The fourth proportional to 436.74, 655.02 and 205.48 is: 308.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.74 : 655.02 = 205.48 : x
  2. Step 2: Convert to fraction form
    436.74/655.02 = 205.48/x
  3. Step 3: Cross multiply
    436.74x = 655.02 × 205.48
  4. Step 4: Simplify right side
    436.74x = 134,593.51
  5. Step 5: Solve for x
    x = 134,593.51/436.74
  6. Step 6: Final answer
    x = 308.18

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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.