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Finding the Fourth Proportional to 414.61, 623.22 and 232.36

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Solution

The fourth proportional to 414.61, 623.22 and 232.36 is: 349.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.61 : 623.22 = 232.36 : x
  2. Step 2: Convert to fraction form
    414.61/623.22 = 232.36/x
  3. Step 3: Cross multiply
    414.61x = 623.22 × 232.36
  4. Step 4: Simplify right side
    414.61x = 144,811.40
  5. Step 5: Solve for x
    x = 144,811.40/414.61
  6. Step 6: Final answer
    x = 349.27

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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.