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Finding the Fourth Proportional to 552.62, 829.01 and 187.31

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Solution

The fourth proportional to 552.62, 829.01 and 187.31 is: 280.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.62 : 829.01 = 187.31 : x
  2. Step 2: Convert to fraction form
    552.62/829.01 = 187.31/x
  3. Step 3: Cross multiply
    552.62x = 829.01 × 187.31
  4. Step 4: Simplify right side
    552.62x = 155,283.88
  5. Step 5: Solve for x
    x = 155,283.88/552.62
  6. Step 6: Final answer
    x = 280.99

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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.