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Finding the Fourth Proportional to 484.36, 725.49 and 319.64

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Solution

The fourth proportional to 484.36, 725.49 and 319.64 is: 478.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.36 : 725.49 = 319.64 : x
  2. Step 2: Convert to fraction form
    484.36/725.49 = 319.64/x
  3. Step 3: Cross multiply
    484.36x = 725.49 × 319.64
  4. Step 4: Simplify right side
    484.36x = 231,895.62
  5. Step 5: Solve for x
    x = 231,895.62/484.36
  6. Step 6: Final answer
    x = 478.77

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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.