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Finding the Fourth Proportional to 415.53, 622.86 and 141.43

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Solution

The fourth proportional to 415.53, 622.86 and 141.43 is: 211.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.53 : 622.86 = 141.43 : x
  2. Step 2: Convert to fraction form
    415.53/622.86 = 141.43/x
  3. Step 3: Cross multiply
    415.53x = 622.86 × 141.43
  4. Step 4: Simplify right side
    415.53x = 88,090.17
  5. Step 5: Solve for x
    x = 88,090.17/415.53
  6. Step 6: Final answer
    x = 211.99

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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.