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Finding the Fourth Proportional to 286.64, 395.62 and 264.68

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Solution

The fourth proportional to 286.64, 395.62 and 264.68 is: 365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.64 : 395.62 = 264.68 : x
  2. Step 2: Convert to fraction form
    286.64/395.62 = 264.68/x
  3. Step 3: Cross multiply
    286.64x = 395.62 × 264.68
  4. Step 4: Simplify right side
    286.64x = 104,712.70
  5. Step 5: Solve for x
    x = 104,712.70/286.64
  6. Step 6: Final answer
    x = 365.31

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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.