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Finding the Fourth Proportional to 361.65, 499.16 and 235.39

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Solution

The fourth proportional to 361.65, 499.16 and 235.39 is: 324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.65 : 499.16 = 235.39 : x
  2. Step 2: Convert to fraction form
    361.65/499.16 = 235.39/x
  3. Step 3: Cross multiply
    361.65x = 499.16 × 235.39
  4. Step 4: Simplify right side
    361.65x = 117,498.04
  5. Step 5: Solve for x
    x = 117,498.04/361.65
  6. Step 6: Final answer
    x = 324.89

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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.