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Finding the Fourth Proportional to 495.62, 742.46 and 264.43

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Solution

The fourth proportional to 495.62, 742.46 and 264.43 is: 396.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.62 : 742.46 = 264.43 : x
  2. Step 2: Convert to fraction form
    495.62/742.46 = 264.43/x
  3. Step 3: Cross multiply
    495.62x = 742.46 × 264.43
  4. Step 4: Simplify right side
    495.62x = 196,323.66
  5. Step 5: Solve for x
    x = 196,323.66/495.62
  6. Step 6: Final answer
    x = 396.12

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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.