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Finding the Fourth Proportional to 551.91, 828.17 and 243.91

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Solution

The fourth proportional to 551.91, 828.17 and 243.91 is: 366.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.91 : 828.17 = 243.91 : x
  2. Step 2: Convert to fraction form
    551.91/828.17 = 243.91/x
  3. Step 3: Cross multiply
    551.91x = 828.17 × 243.91
  4. Step 4: Simplify right side
    551.91x = 202,001.05
  5. Step 5: Solve for x
    x = 202,001.05/551.91
  6. Step 6: Final answer
    x = 366.00

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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.