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Finding the Fourth Proportional to 414.14, 575.35 and 410.34

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Solution

The fourth proportional to 414.14, 575.35 and 410.34 is: 570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.14 : 575.35 = 410.34 : x
  2. Step 2: Convert to fraction form
    414.14/575.35 = 410.34/x
  3. Step 3: Cross multiply
    414.14x = 575.35 × 410.34
  4. Step 4: Simplify right side
    414.14x = 236,087.07
  5. Step 5: Solve for x
    x = 236,087.07/414.14
  6. Step 6: Final answer
    x = 570.07

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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.