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Finding the Fourth Proportional to 415.35, 622.68 and 345.76

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Solution

The fourth proportional to 415.35, 622.68 and 345.76 is: 518.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.35 : 622.68 = 345.76 : x
  2. Step 2: Convert to fraction form
    415.35/622.68 = 345.76/x
  3. Step 3: Cross multiply
    415.35x = 622.68 × 345.76
  4. Step 4: Simplify right side
    415.35x = 215,297.84
  5. Step 5: Solve for x
    x = 215,297.84/415.35
  6. Step 6: Final answer
    x = 518.35

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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.