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Finding the Fourth Proportional to 414.70, 575.39 and 411.17

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Solution

The fourth proportional to 414.70, 575.39 and 411.17 is: 570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.70 : 575.39 = 411.17 : x
  2. Step 2: Convert to fraction form
    414.70/575.39 = 411.17/x
  3. Step 3: Cross multiply
    414.70x = 575.39 × 411.17
  4. Step 4: Simplify right side
    414.70x = 236,580.64
  5. Step 5: Solve for x
    x = 236,580.64/414.70
  6. Step 6: Final answer
    x = 570.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.