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Finding the Fourth Proportional to 414.07, 571.08 and 325.51

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Solution

The fourth proportional to 414.07, 571.08 and 325.51 is: 448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.07 : 571.08 = 325.51 : x
  2. Step 2: Convert to fraction form
    414.07/571.08 = 325.51/x
  3. Step 3: Cross multiply
    414.07x = 571.08 × 325.51
  4. Step 4: Simplify right side
    414.07x = 185,892.25
  5. Step 5: Solve for x
    x = 185,892.25/414.07
  6. Step 6: Final answer
    x = 448.94

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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.