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Finding the Fourth Proportional to 412.60, 622.13 and 361.40

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Solution

The fourth proportional to 412.60, 622.13 and 361.40 is: 544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.60 : 622.13 = 361.40 : x
  2. Step 2: Convert to fraction form
    412.60/622.13 = 361.40/x
  3. Step 3: Cross multiply
    412.60x = 622.13 × 361.40
  4. Step 4: Simplify right side
    412.60x = 224,837.78
  5. Step 5: Solve for x
    x = 224,837.78/412.60
  6. Step 6: Final answer
    x = 544.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.