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Finding the Fourth Proportional to 350.64, 483.91 and 201.28

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Solution

The fourth proportional to 350.64, 483.91 and 201.28 is: 277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.64 : 483.91 = 201.28 : x
  2. Step 2: Convert to fraction form
    350.64/483.91 = 201.28/x
  3. Step 3: Cross multiply
    350.64x = 483.91 × 201.28
  4. Step 4: Simplify right side
    350.64x = 97,400.40
  5. Step 5: Solve for x
    x = 97,400.40/350.64
  6. Step 6: Final answer
    x = 277.78

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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.