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Finding the Fourth Proportional to 495.92, 743.07 and 264.57

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Solution

The fourth proportional to 495.92, 743.07 and 264.57 is: 396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.92 : 743.07 = 264.57 : x
  2. Step 2: Convert to fraction form
    495.92/743.07 = 264.57/x
  3. Step 3: Cross multiply
    495.92x = 743.07 × 264.57
  4. Step 4: Simplify right side
    495.92x = 196,592.24
  5. Step 5: Solve for x
    x = 196,592.24/495.92
  6. Step 6: Final answer
    x = 396.42

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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.