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Finding the Fourth Proportional to 415.34, 573.13 and 249.55

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Solution

The fourth proportional to 415.34, 573.13 and 249.55 is: 344.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.34 : 573.13 = 249.55 : x
  2. Step 2: Convert to fraction form
    415.34/573.13 = 249.55/x
  3. Step 3: Cross multiply
    415.34x = 573.13 × 249.55
  4. Step 4: Simplify right side
    415.34x = 143,022.07
  5. Step 5: Solve for x
    x = 143,022.07/415.34
  6. Step 6: Final answer
    x = 344.35

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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.