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Finding the Fourth Proportional to 620.73, 857.03 and 411.03

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Solution

The fourth proportional to 620.73, 857.03 and 411.03 is: 567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.73 : 857.03 = 411.03 : x
  2. Step 2: Convert to fraction form
    620.73/857.03 = 411.03/x
  3. Step 3: Cross multiply
    620.73x = 857.03 × 411.03
  4. Step 4: Simplify right side
    620.73x = 352,262.99
  5. Step 5: Solve for x
    x = 352,262.99/620.73
  6. Step 6: Final answer
    x = 567.50

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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.