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Finding the Fourth Proportional to 365.21, 503.70 and 254.85

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Solution

The fourth proportional to 365.21, 503.70 and 254.85 is: 351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.21 : 503.70 = 254.85 : x
  2. Step 2: Convert to fraction form
    365.21/503.70 = 254.85/x
  3. Step 3: Cross multiply
    365.21x = 503.70 × 254.85
  4. Step 4: Simplify right side
    365.21x = 128,367.95
  5. Step 5: Solve for x
    x = 128,367.95/365.21
  6. Step 6: Final answer
    x = 351.50

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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.