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Finding the Fourth Proportional to 361.60, 499 and 230.64

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Solution

The fourth proportional to 361.60, 499 and 230.64 is: 318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.60 : 499 = 230.64 : x
  2. Step 2: Convert to fraction form
    361.60/499 = 230.64/x
  3. Step 3: Cross multiply
    361.60x = 499 × 230.64
  4. Step 4: Simplify right side
    361.60x = 115,089.36
  5. Step 5: Solve for x
    x = 115,089.36/361.60
  6. Step 6: Final answer
    x = 318.28

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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.