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Finding the Fourth Proportional to 483.26, 666.89 and 286.77

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Solution

The fourth proportional to 483.26, 666.89 and 286.77 is: 395.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.26 : 666.89 = 286.77 : x
  2. Step 2: Convert to fraction form
    483.26/666.89 = 286.77/x
  3. Step 3: Cross multiply
    483.26x = 666.89 × 286.77
  4. Step 4: Simplify right side
    483.26x = 191,242.26
  5. Step 5: Solve for x
    x = 191,242.26/483.26
  6. Step 6: Final answer
    x = 395.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.