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Finding the Fourth Proportional to 414.36, 571.32 and 283.08

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Solution

The fourth proportional to 414.36, 571.32 and 283.08 is: 390.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.36 : 571.32 = 283.08 : x
  2. Step 2: Convert to fraction form
    414.36/571.32 = 283.08/x
  3. Step 3: Cross multiply
    414.36x = 571.32 × 283.08
  4. Step 4: Simplify right side
    414.36x = 161,729.27
  5. Step 5: Solve for x
    x = 161,729.27/414.36
  6. Step 6: Final answer
    x = 390.31

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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.