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Finding the Fourth Proportional to 415.75, 623.05 and 172.01

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Solution

The fourth proportional to 415.75, 623.05 and 172.01 is: 257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.75 : 623.05 = 172.01 : x
  2. Step 2: Convert to fraction form
    415.75/623.05 = 172.01/x
  3. Step 3: Cross multiply
    415.75x = 623.05 × 172.01
  4. Step 4: Simplify right side
    415.75x = 107,167.29
  5. Step 5: Solve for x
    x = 107,167.29/415.75
  6. Step 6: Final answer
    x = 257.77

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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.