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Finding the Fourth Proportional to 364.76, 500.49 and 361.32

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Solution

The fourth proportional to 364.76, 500.49 and 361.32 is: 495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.76 : 500.49 = 361.32 : x
  2. Step 2: Convert to fraction form
    364.76/500.49 = 361.32/x
  3. Step 3: Cross multiply
    364.76x = 500.49 × 361.32
  4. Step 4: Simplify right side
    364.76x = 180,837.95
  5. Step 5: Solve for x
    x = 180,837.95/364.76
  6. Step 6: Final answer
    x = 495.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.