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Finding the Fourth Proportional to 486.29, 729.73 and 255.35

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Solution

The fourth proportional to 486.29, 729.73 and 255.35 is: 383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.29 : 729.73 = 255.35 : x
  2. Step 2: Convert to fraction form
    486.29/729.73 = 255.35/x
  3. Step 3: Cross multiply
    486.29x = 729.73 × 255.35
  4. Step 4: Simplify right side
    486.29x = 186,334.03
  5. Step 5: Solve for x
    x = 186,334.03/486.29
  6. Step 6: Final answer
    x = 383.17

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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.