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Finding the Fourth Proportional to 414.16, 571.38 and 289.96

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Solution

The fourth proportional to 414.16, 571.38 and 289.96 is: 400.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.16 : 571.38 = 289.96 : x
  2. Step 2: Convert to fraction form
    414.16/571.38 = 289.96/x
  3. Step 3: Cross multiply
    414.16x = 571.38 × 289.96
  4. Step 4: Simplify right side
    414.16x = 165,677.34
  5. Step 5: Solve for x
    x = 165,677.34/414.16
  6. Step 6: Final answer
    x = 400.03

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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.