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Finding the Fourth Proportional to 366.49, 509.26 and 362.74

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Solution

The fourth proportional to 366.49, 509.26 and 362.74 is: 504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.49 : 509.26 = 362.74 : x
  2. Step 2: Convert to fraction form
    366.49/509.26 = 362.74/x
  3. Step 3: Cross multiply
    366.49x = 509.26 × 362.74
  4. Step 4: Simplify right side
    366.49x = 184,728.97
  5. Step 5: Solve for x
    x = 184,728.97/366.49
  6. Step 6: Final answer
    x = 504.05

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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.