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Finding the Fourth Proportional to 414.68, 621.81 and 232.03

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Solution

The fourth proportional to 414.68, 621.81 and 232.03 is: 347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.68 : 621.81 = 232.03 : x
  2. Step 2: Convert to fraction form
    414.68/621.81 = 232.03/x
  3. Step 3: Cross multiply
    414.68x = 621.81 × 232.03
  4. Step 4: Simplify right side
    414.68x = 144,277.89
  5. Step 5: Solve for x
    x = 144,277.89/414.68
  6. Step 6: Final answer
    x = 347.92

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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.