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Finding the Fourth Proportional to 415.69, 623.57 and 141.71

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Solution

The fourth proportional to 415.69, 623.57 and 141.71 is: 212.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.69 : 623.57 = 141.71 : x
  2. Step 2: Convert to fraction form
    415.69/623.57 = 141.71/x
  3. Step 3: Cross multiply
    415.69x = 623.57 × 141.71
  4. Step 4: Simplify right side
    415.69x = 88,367.66
  5. Step 5: Solve for x
    x = 88,367.66/415.69
  6. Step 6: Final answer
    x = 212.58

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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.