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Finding the Fourth Proportional to 414.01, 570.69 and 325.27

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Solution

The fourth proportional to 414.01, 570.69 and 325.27 is: 448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.01 : 570.69 = 325.27 : x
  2. Step 2: Convert to fraction form
    414.01/570.69 = 325.27/x
  3. Step 3: Cross multiply
    414.01x = 570.69 × 325.27
  4. Step 4: Simplify right side
    414.01x = 185,628.34
  5. Step 5: Solve for x
    x = 185,628.34/414.01
  6. Step 6: Final answer
    x = 448.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.