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Finding the Fourth Proportional to 437.84, 655.39 and 327.50

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Solution

The fourth proportional to 437.84, 655.39 and 327.50 is: 490.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.84 : 655.39 = 327.50 : x
  2. Step 2: Convert to fraction form
    437.84/655.39 = 327.50/x
  3. Step 3: Cross multiply
    437.84x = 655.39 × 327.50
  4. Step 4: Simplify right side
    437.84x = 214,640.23
  5. Step 5: Solve for x
    x = 214,640.23/437.84
  6. Step 6: Final answer
    x = 490.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.