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Finding the Fourth Proportional to 656.38, 985.26 and 397.03

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Solution

The fourth proportional to 656.38, 985.26 and 397.03 is: 595.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.38 : 985.26 = 397.03 : x
  2. Step 2: Convert to fraction form
    656.38/985.26 = 397.03/x
  3. Step 3: Cross multiply
    656.38x = 985.26 × 397.03
  4. Step 4: Simplify right side
    656.38x = 391,177.78
  5. Step 5: Solve for x
    x = 391,177.78/656.38
  6. Step 6: Final answer
    x = 595.97

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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.