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Finding the Fourth Proportional to 548.08, 756.32 and 299.41

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Solution

The fourth proportional to 548.08, 756.32 and 299.41 is: 413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.08 : 756.32 = 299.41 : x
  2. Step 2: Convert to fraction form
    548.08/756.32 = 299.41/x
  3. Step 3: Cross multiply
    548.08x = 756.32 × 299.41
  4. Step 4: Simplify right side
    548.08x = 226,446.38
  5. Step 5: Solve for x
    x = 226,446.38/548.08
  6. Step 6: Final answer
    x = 413.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.