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Finding the Fourth Proportional to 414.02, 571.60 and 283.44

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Solution

The fourth proportional to 414.02, 571.60 and 283.44 is: 391.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.02 : 571.60 = 283.44 : x
  2. Step 2: Convert to fraction form
    414.02/571.60 = 283.44/x
  3. Step 3: Cross multiply
    414.02x = 571.60 × 283.44
  4. Step 4: Simplify right side
    414.02x = 162,014.30
  5. Step 5: Solve for x
    x = 162,014.30/414.02
  6. Step 6: Final answer
    x = 391.32

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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.