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Finding the Fourth Proportional to 300.71, 414.85 and 207.31

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Solution

The fourth proportional to 300.71, 414.85 and 207.31 is: 285.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.71 : 414.85 = 207.31 : x
  2. Step 2: Convert to fraction form
    300.71/414.85 = 207.31/x
  3. Step 3: Cross multiply
    300.71x = 414.85 × 207.31
  4. Step 4: Simplify right side
    300.71x = 86,001.58
  5. Step 5: Solve for x
    x = 86,001.58/300.71
  6. Step 6: Final answer
    x = 285.99

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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.