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Finding the Fourth Proportional to 484.05, 725.89 and 195.39

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Solution

The fourth proportional to 484.05, 725.89 and 195.39 is: 293.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.05 : 725.89 = 195.39 : x
  2. Step 2: Convert to fraction form
    484.05/725.89 = 195.39/x
  3. Step 3: Cross multiply
    484.05x = 725.89 × 195.39
  4. Step 4: Simplify right side
    484.05x = 141,831.65
  5. Step 5: Solve for x
    x = 141,831.65/484.05
  6. Step 6: Final answer
    x = 293.01

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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.