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Finding the Fourth Proportional to 414.14, 621.50 and 208.53

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Solution

The fourth proportional to 414.14, 621.50 and 208.53 is: 312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.14 : 621.50 = 208.53 : x
  2. Step 2: Convert to fraction form
    414.14/621.50 = 208.53/x
  3. Step 3: Cross multiply
    414.14x = 621.50 × 208.53
  4. Step 4: Simplify right side
    414.14x = 129,600.35
  5. Step 5: Solve for x
    x = 129,600.35/414.14
  6. Step 6: Final answer
    x = 312.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.