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Finding the Fourth Proportional to 436.23, 653.49 and 262.39

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Solution

The fourth proportional to 436.23, 653.49 and 262.39 is: 393.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.23 : 653.49 = 262.39 : x
  2. Step 2: Convert to fraction form
    436.23/653.49 = 262.39/x
  3. Step 3: Cross multiply
    436.23x = 653.49 × 262.39
  4. Step 4: Simplify right side
    436.23x = 171,467.73
  5. Step 5: Solve for x
    x = 171,467.73/436.23
  6. Step 6: Final answer
    x = 393.06

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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.