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Finding the Fourth Proportional to 414.21, 571.93 and 310.47

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Solution

The fourth proportional to 414.21, 571.93 and 310.47 is: 428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.21 : 571.93 = 310.47 : x
  2. Step 2: Convert to fraction form
    414.21/571.93 = 310.47/x
  3. Step 3: Cross multiply
    414.21x = 571.93 × 310.47
  4. Step 4: Simplify right side
    414.21x = 177,564.19
  5. Step 5: Solve for x
    x = 177,564.19/414.21
  6. Step 6: Final answer
    x = 428.68

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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.