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Finding the Fourth Proportional to 436.10, 655.34 and 262.80

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Solution

The fourth proportional to 436.10, 655.34 and 262.80 is: 394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.10 : 655.34 = 262.80 : x
  2. Step 2: Convert to fraction form
    436.10/655.34 = 262.80/x
  3. Step 3: Cross multiply
    436.10x = 655.34 × 262.80
  4. Step 4: Simplify right side
    436.10x = 172,222.04
  5. Step 5: Solve for x
    x = 172,222.04/436.10
  6. Step 6: Final answer
    x = 394.92

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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.