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Finding the Fourth Proportional to 523.43, 785.51 and 267.11

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Solution

The fourth proportional to 523.43, 785.51 and 267.11 is: 400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.43 : 785.51 = 267.11 : x
  2. Step 2: Convert to fraction form
    523.43/785.51 = 267.11/x
  3. Step 3: Cross multiply
    523.43x = 785.51 × 267.11
  4. Step 4: Simplify right side
    523.43x = 209,816.24
  5. Step 5: Solve for x
    x = 209,816.24/523.43
  6. Step 6: Final answer
    x = 400.85

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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.