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Finding the Fourth Proportional to 366.44, 509.08 and 363.04

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Solution

The fourth proportional to 366.44, 509.08 and 363.04 is: 504.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.44 : 509.08 = 363.04 : x
  2. Step 2: Convert to fraction form
    366.44/509.08 = 363.04/x
  3. Step 3: Cross multiply
    366.44x = 509.08 × 363.04
  4. Step 4: Simplify right side
    366.44x = 184,816.40
  5. Step 5: Solve for x
    x = 184,816.40/366.44
  6. Step 6: Final answer
    x = 504.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.