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Finding the Fourth Proportional to 437.57, 656.33 and 220.98

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Solution

The fourth proportional to 437.57, 656.33 and 220.98 is: 331.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.57 : 656.33 = 220.98 : x
  2. Step 2: Convert to fraction form
    437.57/656.33 = 220.98/x
  3. Step 3: Cross multiply
    437.57x = 656.33 × 220.98
  4. Step 4: Simplify right side
    437.57x = 145,034.70
  5. Step 5: Solve for x
    x = 145,034.70/437.57
  6. Step 6: Final answer
    x = 331.46

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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.