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Finding the Fourth Proportional to 414.34, 621.21 and 208.81

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Solution

The fourth proportional to 414.34, 621.21 and 208.81 is: 313.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.34 : 621.21 = 208.81 : x
  2. Step 2: Convert to fraction form
    414.34/621.21 = 208.81/x
  3. Step 3: Cross multiply
    414.34x = 621.21 × 208.81
  4. Step 4: Simplify right side
    414.34x = 129,714.86
  5. Step 5: Solve for x
    x = 129,714.86/414.34
  6. Step 6: Final answer
    x = 313.06

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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.