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Finding the Fourth Proportional to 414.09, 622.35 and 307.17

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Solution

The fourth proportional to 414.09, 622.35 and 307.17 is: 461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.09 : 622.35 = 307.17 : x
  2. Step 2: Convert to fraction form
    414.09/622.35 = 307.17/x
  3. Step 3: Cross multiply
    414.09x = 622.35 × 307.17
  4. Step 4: Simplify right side
    414.09x = 191,167.25
  5. Step 5: Solve for x
    x = 191,167.25/414.09
  6. Step 6: Final answer
    x = 461.66

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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.