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Finding the Fourth Proportional to 547.67, 756.03 and 361.16

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Solution

The fourth proportional to 547.67, 756.03 and 361.16 is: 498.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.67 : 756.03 = 361.16 : x
  2. Step 2: Convert to fraction form
    547.67/756.03 = 361.16/x
  3. Step 3: Cross multiply
    547.67x = 756.03 × 361.16
  4. Step 4: Simplify right side
    547.67x = 273,047.79
  5. Step 5: Solve for x
    x = 273,047.79/547.67
  6. Step 6: Final answer
    x = 498.56

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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.