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Finding the Fourth Proportional to 402.63, 602.64 and 219.57

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Solution

The fourth proportional to 402.63, 602.64 and 219.57 is: 328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.63 : 602.64 = 219.57 : x
  2. Step 2: Convert to fraction form
    402.63/602.64 = 219.57/x
  3. Step 3: Cross multiply
    402.63x = 602.64 × 219.57
  4. Step 4: Simplify right side
    402.63x = 132,321.66
  5. Step 5: Solve for x
    x = 132,321.66/402.63
  6. Step 6: Final answer
    x = 328.64

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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.