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Finding the Fourth Proportional to 495.42, 742.25 and 422.54

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Solution

The fourth proportional to 495.42, 742.25 and 422.54 is: 633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.42 : 742.25 = 422.54 : x
  2. Step 2: Convert to fraction form
    495.42/742.25 = 422.54/x
  3. Step 3: Cross multiply
    495.42x = 742.25 × 422.54
  4. Step 4: Simplify right side
    495.42x = 313,630.32
  5. Step 5: Solve for x
    x = 313,630.32/495.42
  6. Step 6: Final answer
    x = 633.06

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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.