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Finding the Fourth Proportional to 414.05, 570.42 and 289.48

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Solution

The fourth proportional to 414.05, 570.42 and 289.48 is: 398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.05 : 570.42 = 289.48 : x
  2. Step 2: Convert to fraction form
    414.05/570.42 = 289.48/x
  3. Step 3: Cross multiply
    414.05x = 570.42 × 289.48
  4. Step 4: Simplify right side
    414.05x = 165,125.18
  5. Step 5: Solve for x
    x = 165,125.18/414.05
  6. Step 6: Final answer
    x = 398.80

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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.