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Finding the Fourth Proportional to 402.55, 604.22 and 287.12

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Solution

The fourth proportional to 402.55, 604.22 and 287.12 is: 430.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.55 : 604.22 = 287.12 : x
  2. Step 2: Convert to fraction form
    402.55/604.22 = 287.12/x
  3. Step 3: Cross multiply
    402.55x = 604.22 × 287.12
  4. Step 4: Simplify right side
    402.55x = 173,483.65
  5. Step 5: Solve for x
    x = 173,483.65/402.55
  6. Step 6: Final answer
    x = 430.96

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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.