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Finding the Fourth Proportional to 415.78, 623.18 and 261.73

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Solution

The fourth proportional to 415.78, 623.18 and 261.73 is: 392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.78 : 623.18 = 261.73 : x
  2. Step 2: Convert to fraction form
    415.78/623.18 = 261.73/x
  3. Step 3: Cross multiply
    415.78x = 623.18 × 261.73
  4. Step 4: Simplify right side
    415.78x = 163,103.59
  5. Step 5: Solve for x
    x = 163,103.59/415.78
  6. Step 6: Final answer
    x = 392.28

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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.