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Finding the Fourth Proportional to 657.56, 985.92 and 310.68

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Solution

The fourth proportional to 657.56, 985.92 and 310.68 is: 465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.56 : 985.92 = 310.68 : x
  2. Step 2: Convert to fraction form
    657.56/985.92 = 310.68/x
  3. Step 3: Cross multiply
    657.56x = 985.92 × 310.68
  4. Step 4: Simplify right side
    657.56x = 306,305.63
  5. Step 5: Solve for x
    x = 306,305.63/657.56
  6. Step 6: Final answer
    x = 465.83

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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.