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Finding the Fourth Proportional to 414, 571.32 and 230

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Solution

The fourth proportional to 414, 571.32 and 230 is: 317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414 : 571.32 = 230 : x
  2. Step 2: Convert to fraction form
    414/571.32 = 230/x
  3. Step 3: Cross multiply
    414x = 571.32 × 230
  4. Step 4: Simplify right side
    414x = 131,403.60
  5. Step 5: Solve for x
    x = 131,403.60/414
  6. Step 6: Final answer
    x = 317.40

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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.