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Finding the Fourth Proportional to 305.31, 421.17 and 207.09

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Solution

The fourth proportional to 305.31, 421.17 and 207.09 is: 285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.31 : 421.17 = 207.09 : x
  2. Step 2: Convert to fraction form
    305.31/421.17 = 207.09/x
  3. Step 3: Cross multiply
    305.31x = 421.17 × 207.09
  4. Step 4: Simplify right side
    305.31x = 87,220.10
  5. Step 5: Solve for x
    x = 87,220.10/305.31
  6. Step 6: Final answer
    x = 285.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.