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Finding the Fourth Proportional to 361.02, 495.15 and 346.14

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Solution

The fourth proportional to 361.02, 495.15 and 346.14 is: 474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.02 : 495.15 = 346.14 : x
  2. Step 2: Convert to fraction form
    361.02/495.15 = 346.14/x
  3. Step 3: Cross multiply
    361.02x = 495.15 × 346.14
  4. Step 4: Simplify right side
    361.02x = 171,389.92
  5. Step 5: Solve for x
    x = 171,389.92/361.02
  6. Step 6: Final answer
    x = 474.73

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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.