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Finding the Fourth Proportional to 414.12, 621.14 and 341.16

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Solution

The fourth proportional to 414.12, 621.14 and 341.16 is: 511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.12 : 621.14 = 341.16 : x
  2. Step 2: Convert to fraction form
    414.12/621.14 = 341.16/x
  3. Step 3: Cross multiply
    414.12x = 621.14 × 341.16
  4. Step 4: Simplify right side
    414.12x = 211,908.12
  5. Step 5: Solve for x
    x = 211,908.12/414.12
  6. Step 6: Final answer
    x = 511.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.