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Finding the Fourth Proportional to 548.23, 756.53 and 299.50

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Solution

The fourth proportional to 548.23, 756.53 and 299.50 is: 413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.23 : 756.53 = 299.50 : x
  2. Step 2: Convert to fraction form
    548.23/756.53 = 299.50/x
  3. Step 3: Cross multiply
    548.23x = 756.53 × 299.50
  4. Step 4: Simplify right side
    548.23x = 226,581.31
  5. Step 5: Solve for x
    x = 226,581.31/548.23
  6. Step 6: Final answer
    x = 413.30

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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.