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Finding the Fourth Proportional to 657.06, 983.67 and 425.28

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Solution

The fourth proportional to 657.06, 983.67 and 425.28 is: 636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.06 : 983.67 = 425.28 : x
  2. Step 2: Convert to fraction form
    657.06/983.67 = 425.28/x
  3. Step 3: Cross multiply
    657.06x = 983.67 × 425.28
  4. Step 4: Simplify right side
    657.06x = 418,335.18
  5. Step 5: Solve for x
    x = 418,335.18/657.06
  6. Step 6: Final answer
    x = 636.68

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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.