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Finding the Fourth Proportional to 495.22, 742.82 and 202.71

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Solution

The fourth proportional to 495.22, 742.82 and 202.71 is: 304.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.22 : 742.82 = 202.71 : x
  2. Step 2: Convert to fraction form
    495.22/742.82 = 202.71/x
  3. Step 3: Cross multiply
    495.22x = 742.82 × 202.71
  4. Step 4: Simplify right side
    495.22x = 150,572.31
  5. Step 5: Solve for x
    x = 150,572.31/495.22
  6. Step 6: Final answer
    x = 304.05

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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.