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Finding the Fourth Proportional to 264.64, 365.44 and 264.04

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Solution

The fourth proportional to 264.64, 365.44 and 264.04 is: 364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.64 : 365.44 = 264.04 : x
  2. Step 2: Convert to fraction form
    264.64/365.44 = 264.04/x
  3. Step 3: Cross multiply
    264.64x = 365.44 × 264.04
  4. Step 4: Simplify right side
    264.64x = 96,490.78
  5. Step 5: Solve for x
    x = 96,490.78/264.64
  6. Step 6: Final answer
    x = 364.61

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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.