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Finding the Fourth Proportional to 437.99, 656.89 and 206.78

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Solution

The fourth proportional to 437.99, 656.89 and 206.78 is: 310.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.99 : 656.89 = 206.78 : x
  2. Step 2: Convert to fraction form
    437.99/656.89 = 206.78/x
  3. Step 3: Cross multiply
    437.99x = 656.89 × 206.78
  4. Step 4: Simplify right side
    437.99x = 135,827.91
  5. Step 5: Solve for x
    x = 135,827.91/437.99
  6. Step 6: Final answer
    x = 310.12

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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.