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Finding the Fourth Proportional to 484.71, 727.07 and 196.14

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Solution

The fourth proportional to 484.71, 727.07 and 196.14 is: 294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.71 : 727.07 = 196.14 : x
  2. Step 2: Convert to fraction form
    484.71/727.07 = 196.14/x
  3. Step 3: Cross multiply
    484.71x = 727.07 × 196.14
  4. Step 4: Simplify right side
    484.71x = 142,607.51
  5. Step 5: Solve for x
    x = 142,607.51/484.71
  6. Step 6: Final answer
    x = 294.21

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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.