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Finding the Fourth Proportional to 495.30, 742.94 and 202.92

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Solution

The fourth proportional to 495.30, 742.94 and 202.92 is: 304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.30 : 742.94 = 202.92 : x
  2. Step 2: Convert to fraction form
    495.30/742.94 = 202.92/x
  3. Step 3: Cross multiply
    495.30x = 742.94 × 202.92
  4. Step 4: Simplify right side
    495.30x = 150,757.38
  5. Step 5: Solve for x
    x = 150,757.38/495.30
  6. Step 6: Final answer
    x = 304.38

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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.