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Finding the Fourth Proportional to 487.25, 730.94 and 194.75

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Solution

The fourth proportional to 487.25, 730.94 and 194.75 is: 292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.25 : 730.94 = 194.75 : x
  2. Step 2: Convert to fraction form
    487.25/730.94 = 194.75/x
  3. Step 3: Cross multiply
    487.25x = 730.94 × 194.75
  4. Step 4: Simplify right side
    487.25x = 142,349.41
  5. Step 5: Solve for x
    x = 142,349.41/487.25
  6. Step 6: Final answer
    x = 292.15

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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.