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Finding the Fourth Proportional to 551.90, 828.03 and 243.83

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Solution

The fourth proportional to 551.90, 828.03 and 243.83 is: 365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.90 : 828.03 = 243.83 : x
  2. Step 2: Convert to fraction form
    551.90/828.03 = 243.83/x
  3. Step 3: Cross multiply
    551.90x = 828.03 × 243.83
  4. Step 4: Simplify right side
    551.90x = 201,898.55
  5. Step 5: Solve for x
    x = 201,898.55/551.90
  6. Step 6: Final answer
    x = 365.82

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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.