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Finding the Fourth Proportional to 436.88, 655.34 and 162.95

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Solution

The fourth proportional to 436.88, 655.34 and 162.95 is: 244.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.88 : 655.34 = 162.95 : x
  2. Step 2: Convert to fraction form
    436.88/655.34 = 162.95/x
  3. Step 3: Cross multiply
    436.88x = 655.34 × 162.95
  4. Step 4: Simplify right side
    436.88x = 106,784.48
  5. Step 5: Solve for x
    x = 106,784.48/436.88
  6. Step 6: Final answer
    x = 244.43

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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.