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Finding the Fourth Proportional to 414.02, 571.44 and 283.34

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Solution

The fourth proportional to 414.02, 571.44 and 283.34 is: 391.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.02 : 571.44 = 283.34 : x
  2. Step 2: Convert to fraction form
    414.02/571.44 = 283.34/x
  3. Step 3: Cross multiply
    414.02x = 571.44 × 283.34
  4. Step 4: Simplify right side
    414.02x = 161,911.81
  5. Step 5: Solve for x
    x = 161,911.81/414.02
  6. Step 6: Final answer
    x = 391.07

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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.