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Finding the Fourth Proportional to 414.14, 568.46 and 377.08

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Solution

The fourth proportional to 414.14, 568.46 and 377.08 is: 517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.14 : 568.46 = 377.08 : x
  2. Step 2: Convert to fraction form
    414.14/568.46 = 377.08/x
  3. Step 3: Cross multiply
    414.14x = 568.46 × 377.08
  4. Step 4: Simplify right side
    414.14x = 214,354.42
  5. Step 5: Solve for x
    x = 214,354.42/414.14
  6. Step 6: Final answer
    x = 517.60

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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.