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Finding the Fourth Proportional to 436.23, 653.87 and 282.26

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Solution

The fourth proportional to 436.23, 653.87 and 282.26 is: 423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.23 : 653.87 = 282.26 : x
  2. Step 2: Convert to fraction form
    436.23/653.87 = 282.26/x
  3. Step 3: Cross multiply
    436.23x = 653.87 × 282.26
  4. Step 4: Simplify right side
    436.23x = 184,556.67
  5. Step 5: Solve for x
    x = 184,556.67/436.23
  6. Step 6: Final answer
    x = 423.07

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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.