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Finding the Fourth Proportional to 415.59, 622.44 and 346.74

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Solution

The fourth proportional to 415.59, 622.44 and 346.74 is: 519.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.59 : 622.44 = 346.74 : x
  2. Step 2: Convert to fraction form
    415.59/622.44 = 346.74/x
  3. Step 3: Cross multiply
    415.59x = 622.44 × 346.74
  4. Step 4: Simplify right side
    415.59x = 215,824.85
  5. Step 5: Solve for x
    x = 215,824.85/415.59
  6. Step 6: Final answer
    x = 519.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.