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Finding the Fourth Proportional to 349.64, 482.52 and 200.28

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Solution

The fourth proportional to 349.64, 482.52 and 200.28 is: 276.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.64 : 482.52 = 200.28 : x
  2. Step 2: Convert to fraction form
    349.64/482.52 = 200.28/x
  3. Step 3: Cross multiply
    349.64x = 482.52 × 200.28
  4. Step 4: Simplify right side
    349.64x = 96,638.40
  5. Step 5: Solve for x
    x = 96,638.40/349.64
  6. Step 6: Final answer
    x = 276.39

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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.