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Finding the Fourth Proportional to 414.39, 568.40 and 410.95

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Solution

The fourth proportional to 414.39, 568.40 and 410.95 is: 563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.39 : 568.40 = 410.95 : x
  2. Step 2: Convert to fraction form
    414.39/568.40 = 410.95/x
  3. Step 3: Cross multiply
    414.39x = 568.40 × 410.95
  4. Step 4: Simplify right side
    414.39x = 233,583.59
  5. Step 5: Solve for x
    x = 233,583.59/414.39
  6. Step 6: Final answer
    x = 563.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.