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Finding the Fourth Proportional to 547.96, 756.19 and 327.01

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Solution

The fourth proportional to 547.96, 756.19 and 327.01 is: 451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.96 : 756.19 = 327.01 : x
  2. Step 2: Convert to fraction form
    547.96/756.19 = 327.01/x
  3. Step 3: Cross multiply
    547.96x = 756.19 × 327.01
  4. Step 4: Simplify right side
    547.96x = 247,281.69
  5. Step 5: Solve for x
    x = 247,281.69/547.96
  6. Step 6: Final answer
    x = 451.28

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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.