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Finding the Fourth Proportional to 551.46, 826.46 and 262.26

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Solution

The fourth proportional to 551.46, 826.46 and 262.26 is: 393.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.46 : 826.46 = 262.26 : x
  2. Step 2: Convert to fraction form
    551.46/826.46 = 262.26/x
  3. Step 3: Cross multiply
    551.46x = 826.46 × 262.26
  4. Step 4: Simplify right side
    551.46x = 216,747.40
  5. Step 5: Solve for x
    x = 216,747.40/551.46
  6. Step 6: Final answer
    x = 393.04

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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.