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Finding the Fourth Proportional to 414.84, 576.45 and 410.34

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Solution

The fourth proportional to 414.84, 576.45 and 410.34 is: 570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.84 : 576.45 = 410.34 : x
  2. Step 2: Convert to fraction form
    414.84/576.45 = 410.34/x
  3. Step 3: Cross multiply
    414.84x = 576.45 × 410.34
  4. Step 4: Simplify right side
    414.84x = 236,540.49
  5. Step 5: Solve for x
    x = 236,540.49/414.84
  6. Step 6: Final answer
    x = 570.20

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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.