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Finding the Fourth Proportional to 414.56, 571.76 and 283.36

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Solution

The fourth proportional to 414.56, 571.76 and 283.36 is: 390.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.56 : 571.76 = 283.36 : x
  2. Step 2: Convert to fraction form
    414.56/571.76 = 283.36/x
  3. Step 3: Cross multiply
    414.56x = 571.76 × 283.36
  4. Step 4: Simplify right side
    414.56x = 162,013.91
  5. Step 5: Solve for x
    x = 162,013.91/414.56
  6. Step 6: Final answer
    x = 390.81

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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.