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Finding the Fourth Proportional to 415.47, 623.12 and 141.41

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Solution

The fourth proportional to 415.47, 623.12 and 141.41 is: 212.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.47 : 623.12 = 141.41 : x
  2. Step 2: Convert to fraction form
    415.47/623.12 = 141.41/x
  3. Step 3: Cross multiply
    415.47x = 623.12 × 141.41
  4. Step 4: Simplify right side
    415.47x = 88,115.65
  5. Step 5: Solve for x
    x = 88,115.65/415.47
  6. Step 6: Final answer
    x = 212.09

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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.