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Finding the Fourth Proportional to 487.46, 731.27 and 194.96

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Solution

The fourth proportional to 487.46, 731.27 and 194.96 is: 292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.46 : 731.27 = 194.96 : x
  2. Step 2: Convert to fraction form
    487.46/731.27 = 194.96/x
  3. Step 3: Cross multiply
    487.46x = 731.27 × 194.96
  4. Step 4: Simplify right side
    487.46x = 142,568.40
  5. Step 5: Solve for x
    x = 142,568.40/487.46
  6. Step 6: Final answer
    x = 292.47

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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.