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Finding the Fourth Proportional to 414.76, 571.70 and 283.54

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Solution

The fourth proportional to 414.76, 571.70 and 283.54 is: 390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.76 : 571.70 = 283.54 : x
  2. Step 2: Convert to fraction form
    414.76/571.70 = 283.54/x
  3. Step 3: Cross multiply
    414.76x = 571.70 × 283.54
  4. Step 4: Simplify right side
    414.76x = 162,099.82
  5. Step 5: Solve for x
    x = 162,099.82/414.76
  6. Step 6: Final answer
    x = 390.83

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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.