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Finding the Fourth Proportional to 414.09, 571.14 and 316.08

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Solution

The fourth proportional to 414.09, 571.14 and 316.08 is: 435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.09 : 571.14 = 316.08 : x
  2. Step 2: Convert to fraction form
    414.09/571.14 = 316.08/x
  3. Step 3: Cross multiply
    414.09x = 571.14 × 316.08
  4. Step 4: Simplify right side
    414.09x = 180,525.93
  5. Step 5: Solve for x
    x = 180,525.93/414.09
  6. Step 6: Final answer
    x = 435.96

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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.