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Finding the Fourth Proportional to 615.72, 923.38 and 341.96

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Solution

The fourth proportional to 615.72, 923.38 and 341.96 is: 512.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.72 : 923.38 = 341.96 : x
  2. Step 2: Convert to fraction form
    615.72/923.38 = 341.96/x
  3. Step 3: Cross multiply
    615.72x = 923.38 × 341.96
  4. Step 4: Simplify right side
    615.72x = 315,759.02
  5. Step 5: Solve for x
    x = 315,759.02/615.72
  6. Step 6: Final answer
    x = 512.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.