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Finding the Fourth Proportional to 486.39, 729.99 and 255.36

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Solution

The fourth proportional to 486.39, 729.99 and 255.36 is: 383.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.39 : 729.99 = 255.36 : x
  2. Step 2: Convert to fraction form
    486.39/729.99 = 255.36/x
  3. Step 3: Cross multiply
    486.39x = 729.99 × 255.36
  4. Step 4: Simplify right side
    486.39x = 186,410.25
  5. Step 5: Solve for x
    x = 186,410.25/486.39
  6. Step 6: Final answer
    x = 383.25

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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.