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Finding the Fourth Proportional to 548.46, 756.72 and 401.10

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Solution

The fourth proportional to 548.46, 756.72 and 401.10 is: 553.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.46 : 756.72 = 401.10 : x
  2. Step 2: Convert to fraction form
    548.46/756.72 = 401.10/x
  3. Step 3: Cross multiply
    548.46x = 756.72 × 401.10
  4. Step 4: Simplify right side
    548.46x = 303,520.39
  5. Step 5: Solve for x
    x = 303,520.39/548.46
  6. Step 6: Final answer
    x = 553.40

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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.