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Finding the Fourth Proportional to 551.18, 825.96 and 262.02

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Solution

The fourth proportional to 551.18, 825.96 and 262.02 is: 392.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.18 : 825.96 = 262.02 : x
  2. Step 2: Convert to fraction form
    551.18/825.96 = 262.02/x
  3. Step 3: Cross multiply
    551.18x = 825.96 × 262.02
  4. Step 4: Simplify right side
    551.18x = 216,418.04
  5. Step 5: Solve for x
    x = 216,418.04/551.18
  6. Step 6: Final answer
    x = 392.64

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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.