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Finding the Fourth Proportional to 484.34, 726.80 and 195.75

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Solution

The fourth proportional to 484.34, 726.80 and 195.75 is: 293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.34 : 726.80 = 195.75 : x
  2. Step 2: Convert to fraction form
    484.34/726.80 = 195.75/x
  3. Step 3: Cross multiply
    484.34x = 726.80 × 195.75
  4. Step 4: Simplify right side
    484.34x = 142,270.12
  5. Step 5: Solve for x
    x = 142,270.12/484.34
  6. Step 6: Final answer
    x = 293.74

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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.