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Finding the Fourth Proportional to 331.47, 457.50 and 200.45

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Solution

The fourth proportional to 331.47, 457.50 and 200.45 is: 276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.47 : 457.50 = 200.45 : x
  2. Step 2: Convert to fraction form
    331.47/457.50 = 200.45/x
  3. Step 3: Cross multiply
    331.47x = 457.50 × 200.45
  4. Step 4: Simplify right side
    331.47x = 91,703.59
  5. Step 5: Solve for x
    x = 91,703.59/331.47
  6. Step 6: Final answer
    x = 276.66

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