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Finding the Fourth Proportional to 436.72, 655.15 and 202.69

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Solution

The fourth proportional to 436.72, 655.15 and 202.69 is: 304.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.72 : 655.15 = 202.69 : x
  2. Step 2: Convert to fraction form
    436.72/655.15 = 202.69/x
  3. Step 3: Cross multiply
    436.72x = 655.15 × 202.69
  4. Step 4: Simplify right side
    436.72x = 132,792.35
  5. Step 5: Solve for x
    x = 132,792.35/436.72
  6. Step 6: Final answer
    x = 304.07

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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.