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Finding the Fourth Proportional to 369.02, 552.75 and 204.48

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Solution

The fourth proportional to 369.02, 552.75 and 204.48 is: 306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.02 : 552.75 = 204.48 : x
  2. Step 2: Convert to fraction form
    369.02/552.75 = 204.48/x
  3. Step 3: Cross multiply
    369.02x = 552.75 × 204.48
  4. Step 4: Simplify right side
    369.02x = 113,026.32
  5. Step 5: Solve for x
    x = 113,026.32/369.02
  6. Step 6: Final answer
    x = 306.29

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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.