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Finding the Fourth Proportional to 414.18, 571.83 and 370.44

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Solution

The fourth proportional to 414.18, 571.83 and 370.44 is: 511.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.18 : 571.83 = 370.44 : x
  2. Step 2: Convert to fraction form
    414.18/571.83 = 370.44/x
  3. Step 3: Cross multiply
    414.18x = 571.83 × 370.44
  4. Step 4: Simplify right side
    414.18x = 211,828.71
  5. Step 5: Solve for x
    x = 211,828.71/414.18
  6. Step 6: Final answer
    x = 511.44

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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.