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Finding the Fourth Proportional to 331.71, 457.34 and 207.33

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Solution

The fourth proportional to 331.71, 457.34 and 207.33 is: 285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.71 : 457.34 = 207.33 : x
  2. Step 2: Convert to fraction form
    331.71/457.34 = 207.33/x
  3. Step 3: Cross multiply
    331.71x = 457.34 × 207.33
  4. Step 4: Simplify right side
    331.71x = 94,820.19
  5. Step 5: Solve for x
    x = 94,820.19/331.71
  6. Step 6: Final answer
    x = 285.85

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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.