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Finding the Fourth Proportional to 552.49, 828.72 and 187.28

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Solution

The fourth proportional to 552.49, 828.72 and 187.28 is: 280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.49 : 828.72 = 187.28 : x
  2. Step 2: Convert to fraction form
    552.49/828.72 = 187.28/x
  3. Step 3: Cross multiply
    552.49x = 828.72 × 187.28
  4. Step 4: Simplify right side
    552.49x = 155,202.50
  5. Step 5: Solve for x
    x = 155,202.50/552.49
  6. Step 6: Final answer
    x = 280.91

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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.