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Finding the Fourth Proportional to 657.24, 985.68 and 441.96

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Solution

The fourth proportional to 657.24, 985.68 and 441.96 is: 662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.24 : 985.68 = 441.96 : x
  2. Step 2: Convert to fraction form
    657.24/985.68 = 441.96/x
  3. Step 3: Cross multiply
    657.24x = 985.68 × 441.96
  4. Step 4: Simplify right side
    657.24x = 435,631.13
  5. Step 5: Solve for x
    x = 435,631.13/657.24
  6. Step 6: Final answer
    x = 662.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.