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Finding the Fourth Proportional to 495.39, 742.62 and 454.38

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Solution

The fourth proportional to 495.39, 742.62 and 454.38 is: 681.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.39 : 742.62 = 454.38 : x
  2. Step 2: Convert to fraction form
    495.39/742.62 = 454.38/x
  3. Step 3: Cross multiply
    495.39x = 742.62 × 454.38
  4. Step 4: Simplify right side
    495.39x = 337,431.68
  5. Step 5: Solve for x
    x = 337,431.68/495.39
  6. Step 6: Final answer
    x = 681.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.