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Finding the Fourth Proportional to 414.85, 568.62 and 414.16

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Solution

The fourth proportional to 414.85, 568.62 and 414.16 is: 567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.85 : 568.62 = 414.16 : x
  2. Step 2: Convert to fraction form
    414.85/568.62 = 414.16/x
  3. Step 3: Cross multiply
    414.85x = 568.62 × 414.16
  4. Step 4: Simplify right side
    414.85x = 235,501.44
  5. Step 5: Solve for x
    x = 235,501.44/414.85
  6. Step 6: Final answer
    x = 567.68

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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.