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Finding the Fourth Proportional to 616.41, 923.60 and 269.23

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Solution

The fourth proportional to 616.41, 923.60 and 269.23 is: 403.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.41 : 923.60 = 269.23 : x
  2. Step 2: Convert to fraction form
    616.41/923.60 = 269.23/x
  3. Step 3: Cross multiply
    616.41x = 923.60 × 269.23
  4. Step 4: Simplify right side
    616.41x = 248,660.83
  5. Step 5: Solve for x
    x = 248,660.83/616.41
  6. Step 6: Final answer
    x = 403.40

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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.