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Finding the Fourth Proportional to 389.94, 585.45 and 267.90

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Solution

The fourth proportional to 389.94, 585.45 and 267.90 is: 402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.94 : 585.45 = 267.90 : x
  2. Step 2: Convert to fraction form
    389.94/585.45 = 267.90/x
  3. Step 3: Cross multiply
    389.94x = 585.45 × 267.90
  4. Step 4: Simplify right side
    389.94x = 156,842.06
  5. Step 5: Solve for x
    x = 156,842.06/389.94
  6. Step 6: Final answer
    x = 402.22

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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.