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Finding the Fourth Proportional to 657.21, 985.20 and 224.07

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Solution

The fourth proportional to 657.21, 985.20 and 224.07 is: 335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.21 : 985.20 = 224.07 : x
  2. Step 2: Convert to fraction form
    657.21/985.20 = 224.07/x
  3. Step 3: Cross multiply
    657.21x = 985.20 × 224.07
  4. Step 4: Simplify right side
    657.21x = 220,753.76
  5. Step 5: Solve for x
    x = 220,753.76/657.21
  6. Step 6: Final answer
    x = 335.90

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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.