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Finding the Fourth Proportional to 365.75, 504.31 and 278.27

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Solution

The fourth proportional to 365.75, 504.31 and 278.27 is: 383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.75 : 504.31 = 278.27 : x
  2. Step 2: Convert to fraction form
    365.75/504.31 = 278.27/x
  3. Step 3: Cross multiply
    365.75x = 504.31 × 278.27
  4. Step 4: Simplify right side
    365.75x = 140,334.34
  5. Step 5: Solve for x
    x = 140,334.34/365.75
  6. Step 6: Final answer
    x = 383.69

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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.