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Finding the Fourth Proportional to 365.95, 504.16 and 255.23

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Solution

The fourth proportional to 365.95, 504.16 and 255.23 is: 351.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.95 : 504.16 = 255.23 : x
  2. Step 2: Convert to fraction form
    365.95/504.16 = 255.23/x
  3. Step 3: Cross multiply
    365.95x = 504.16 × 255.23
  4. Step 4: Simplify right side
    365.95x = 128,675.49
  5. Step 5: Solve for x
    x = 128,675.49/365.95
  6. Step 6: Final answer
    x = 351.62

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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.