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Finding the Fourth Proportional to 657.68, 985.41 and 474.14

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Solution

The fourth proportional to 657.68, 985.41 and 474.14 is: 710.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.68 : 985.41 = 474.14 : x
  2. Step 2: Convert to fraction form
    657.68/985.41 = 474.14/x
  3. Step 3: Cross multiply
    657.68x = 985.41 × 474.14
  4. Step 4: Simplify right side
    657.68x = 467,222.30
  5. Step 5: Solve for x
    x = 467,222.30/657.68
  6. Step 6: Final answer
    x = 710.41

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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.