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Finding the Fourth Proportional to 609.73, 841.52 and 462.12

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Solution

The fourth proportional to 609.73, 841.52 and 462.12 is: 637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.73 : 841.52 = 462.12 : x
  2. Step 2: Convert to fraction form
    609.73/841.52 = 462.12/x
  3. Step 3: Cross multiply
    609.73x = 841.52 × 462.12
  4. Step 4: Simplify right side
    609.73x = 388,883.22
  5. Step 5: Solve for x
    x = 388,883.22/609.73
  6. Step 6: Final answer
    x = 637.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.