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Finding the Fourth Proportional to 415.56, 623.03 and 171.95

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Solution

The fourth proportional to 415.56, 623.03 and 171.95 is: 257.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.56 : 623.03 = 171.95 : x
  2. Step 2: Convert to fraction form
    415.56/623.03 = 171.95/x
  3. Step 3: Cross multiply
    415.56x = 623.03 × 171.95
  4. Step 4: Simplify right side
    415.56x = 107,130.01
  5. Step 5: Solve for x
    x = 107,130.01/415.56
  6. Step 6: Final answer
    x = 257.80

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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.