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Finding the Fourth Proportional to 495.24, 742.22 and 264.24

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Solution

The fourth proportional to 495.24, 742.22 and 264.24 is: 396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.24 : 742.22 = 264.24 : x
  2. Step 2: Convert to fraction form
    495.24/742.22 = 264.24/x
  3. Step 3: Cross multiply
    495.24x = 742.22 × 264.24
  4. Step 4: Simplify right side
    495.24x = 196,124.21
  5. Step 5: Solve for x
    x = 196,124.21/495.24
  6. Step 6: Final answer
    x = 396.02

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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.