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Finding the Fourth Proportional to 365.22, 504.20 and 277.74

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Solution

The fourth proportional to 365.22, 504.20 and 277.74 is: 383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.22 : 504.20 = 277.74 : x
  2. Step 2: Convert to fraction form
    365.22/504.20 = 277.74/x
  3. Step 3: Cross multiply
    365.22x = 504.20 × 277.74
  4. Step 4: Simplify right side
    365.22x = 140,037.20
  5. Step 5: Solve for x
    x = 140,037.20/365.22
  6. Step 6: Final answer
    x = 383.43

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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.