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Finding the Fourth Proportional to 361.52, 499.20 and 245.60

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Solution

The fourth proportional to 361.52, 499.20 and 245.60 is: 339.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.52 : 499.20 = 245.60 : x
  2. Step 2: Convert to fraction form
    361.52/499.20 = 245.60/x
  3. Step 3: Cross multiply
    361.52x = 499.20 × 245.60
  4. Step 4: Simplify right side
    361.52x = 122,603.52
  5. Step 5: Solve for x
    x = 122,603.52/361.52
  6. Step 6: Final answer
    x = 339.13

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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.