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Finding the Fourth Proportional to 364.75, 503.37 and 266.33

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Solution

The fourth proportional to 364.75, 503.37 and 266.33 is: 367.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.75 : 503.37 = 266.33 : x
  2. Step 2: Convert to fraction form
    364.75/503.37 = 266.33/x
  3. Step 3: Cross multiply
    364.75x = 503.37 × 266.33
  4. Step 4: Simplify right side
    364.75x = 134,063.79
  5. Step 5: Solve for x
    x = 134,063.79/364.75
  6. Step 6: Final answer
    x = 367.55

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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.