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Finding the Fourth Proportional to 548.80, 756.72 and 401.52

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Solution

The fourth proportional to 548.80, 756.72 and 401.52 is: 553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.80 : 756.72 = 401.52 : x
  2. Step 2: Convert to fraction form
    548.80/756.72 = 401.52/x
  3. Step 3: Cross multiply
    548.80x = 756.72 × 401.52
  4. Step 4: Simplify right side
    548.80x = 303,838.21
  5. Step 5: Solve for x
    x = 303,838.21/548.80
  6. Step 6: Final answer
    x = 553.64

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