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Finding the Fourth Proportional to 412.80, 622.02 and 345.84

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Solution

The fourth proportional to 412.80, 622.02 and 345.84 is: 521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.80 : 622.02 = 345.84 : x
  2. Step 2: Convert to fraction form
    412.80/622.02 = 345.84/x
  3. Step 3: Cross multiply
    412.80x = 622.02 × 345.84
  4. Step 4: Simplify right side
    412.80x = 215,119.40
  5. Step 5: Solve for x
    x = 215,119.40/412.80
  6. Step 6: Final answer
    x = 521.12

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