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Finding the Fourth Proportional to 498.27, 746.55 and 267.27

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Solution

The fourth proportional to 498.27, 746.55 and 267.27 is: 400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.27 : 746.55 = 267.27 : x
  2. Step 2: Convert to fraction form
    498.27/746.55 = 267.27/x
  3. Step 3: Cross multiply
    498.27x = 746.55 × 267.27
  4. Step 4: Simplify right side
    498.27x = 199,525.35
  5. Step 5: Solve for x
    x = 199,525.35/498.27
  6. Step 6: Final answer
    x = 400.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.