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Finding the Fourth Proportional to 657.05, 985.10 and 245.97

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Solution

The fourth proportional to 657.05, 985.10 and 245.97 is: 368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.05 : 985.10 = 245.97 : x
  2. Step 2: Convert to fraction form
    657.05/985.10 = 245.97/x
  3. Step 3: Cross multiply
    657.05x = 985.10 × 245.97
  4. Step 4: Simplify right side
    657.05x = 242,303.82
  5. Step 5: Solve for x
    x = 242,303.82/657.05
  6. Step 6: Final answer
    x = 368.78

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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.