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Finding the Fourth Proportional to 364.64, 499.24 and 361.12

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Solution

The fourth proportional to 364.64, 499.24 and 361.12 is: 494.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.64 : 499.24 = 361.12 : x
  2. Step 2: Convert to fraction form
    364.64/499.24 = 361.12/x
  3. Step 3: Cross multiply
    364.64x = 499.24 × 361.12
  4. Step 4: Simplify right side
    364.64x = 180,285.55
  5. Step 5: Solve for x
    x = 180,285.55/364.64
  6. Step 6: Final answer
    x = 494.42

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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.