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Finding the Fourth Proportional to 414.68, 571.34 and 283.46

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Solution

The fourth proportional to 414.68, 571.34 and 283.46 is: 390.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.68 : 571.34 = 283.46 : x
  2. Step 2: Convert to fraction form
    414.68/571.34 = 283.46/x
  3. Step 3: Cross multiply
    414.68x = 571.34 × 283.46
  4. Step 4: Simplify right side
    414.68x = 161,952.04
  5. Step 5: Solve for x
    x = 161,952.04/414.68
  6. Step 6: Final answer
    x = 390.55

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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.