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Finding the Fourth Proportional to 657.88, 985.38 and 400.84

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Solution

The fourth proportional to 657.88, 985.38 and 400.84 is: 600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.88 : 985.38 = 400.84 : x
  2. Step 2: Convert to fraction form
    657.88/985.38 = 400.84/x
  3. Step 3: Cross multiply
    657.88x = 985.38 × 400.84
  4. Step 4: Simplify right side
    657.88x = 394,979.72
  5. Step 5: Solve for x
    x = 394,979.72/657.88
  6. Step 6: Final answer
    x = 600.38

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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.