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Finding the Fourth Proportional to 414.80, 571.56 and 404.40

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Solution

The fourth proportional to 414.80, 571.56 and 404.40 is: 557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.80 : 571.56 = 404.40 : x
  2. Step 2: Convert to fraction form
    414.80/571.56 = 404.40/x
  3. Step 3: Cross multiply
    414.80x = 571.56 × 404.40
  4. Step 4: Simplify right side
    414.80x = 231,138.86
  5. Step 5: Solve for x
    x = 231,138.86/414.80
  6. Step 6: Final answer
    x = 557.23

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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.