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Finding the Fourth Proportional to 415.23, 572.97 and 249.45

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Solution

The fourth proportional to 415.23, 572.97 and 249.45 is: 344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.23 : 572.97 = 249.45 : x
  2. Step 2: Convert to fraction form
    415.23/572.97 = 249.45/x
  3. Step 3: Cross multiply
    415.23x = 572.97 × 249.45
  4. Step 4: Simplify right side
    415.23x = 142,927.37
  5. Step 5: Solve for x
    x = 142,927.37/415.23
  6. Step 6: Final answer
    x = 344.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.