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Finding the Fourth Proportional to 637.96, 957.08 and 205.12

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Solution

The fourth proportional to 637.96, 957.08 and 205.12 is: 307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.96 : 957.08 = 205.12 : x
  2. Step 2: Convert to fraction form
    637.96/957.08 = 205.12/x
  3. Step 3: Cross multiply
    637.96x = 957.08 × 205.12
  4. Step 4: Simplify right side
    637.96x = 196,316.25
  5. Step 5: Solve for x
    x = 196,316.25/637.96
  6. Step 6: Final answer
    x = 307.73

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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.