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Finding the Fourth Proportional to 402.35, 602.28 and 219.48

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Solution

The fourth proportional to 402.35, 602.28 and 219.48 is: 328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.35 : 602.28 = 219.48 : x
  2. Step 2: Convert to fraction form
    402.35/602.28 = 219.48/x
  3. Step 3: Cross multiply
    402.35x = 602.28 × 219.48
  4. Step 4: Simplify right side
    402.35x = 132,188.41
  5. Step 5: Solve for x
    x = 132,188.41/402.35
  6. Step 6: Final answer
    x = 328.54

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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.