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Finding the Fourth Proportional to 615.42, 923.04 and 230.67

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Solution

The fourth proportional to 615.42, 923.04 and 230.67 is: 345.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.42 : 923.04 = 230.67 : x
  2. Step 2: Convert to fraction form
    615.42/923.04 = 230.67/x
  3. Step 3: Cross multiply
    615.42x = 923.04 × 230.67
  4. Step 4: Simplify right side
    615.42x = 212,917.64
  5. Step 5: Solve for x
    x = 212,917.64/615.42
  6. Step 6: Final answer
    x = 345.97

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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.