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Finding the Fourth Proportional to 365.75, 504.65 and 267.33

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Solution

The fourth proportional to 365.75, 504.65 and 267.33 is: 368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.75 : 504.65 = 267.33 : x
  2. Step 2: Convert to fraction form
    365.75/504.65 = 267.33/x
  3. Step 3: Cross multiply
    365.75x = 504.65 × 267.33
  4. Step 4: Simplify right side
    365.75x = 134,909.14
  5. Step 5: Solve for x
    x = 134,909.14/365.75
  6. Step 6: Final answer
    x = 368.86

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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.