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Finding the Fourth Proportional to 616.08, 923.70 and 231

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Solution

The fourth proportional to 616.08, 923.70 and 231 is: 346.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.08 : 923.70 = 231 : x
  2. Step 2: Convert to fraction form
    616.08/923.70 = 231/x
  3. Step 3: Cross multiply
    616.08x = 923.70 × 231
  4. Step 4: Simplify right side
    616.08x = 213,374.70
  5. Step 5: Solve for x
    x = 213,374.70/616.08
  6. Step 6: Final answer
    x = 346.34

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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.