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Finding the Fourth Proportional to 615.89, 923.86 and 205.06

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Solution

The fourth proportional to 615.89, 923.86 and 205.06 is: 307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.89 : 923.86 = 205.06 : x
  2. Step 2: Convert to fraction form
    615.89/923.86 = 205.06/x
  3. Step 3: Cross multiply
    615.89x = 923.86 × 205.06
  4. Step 4: Simplify right side
    615.89x = 189,446.73
  5. Step 5: Solve for x
    x = 189,446.73/615.89
  6. Step 6: Final answer
    x = 307.60

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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.