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Finding the Fourth Proportional to 551.26, 826.73 and 204.75

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Solution

The fourth proportional to 551.26, 826.73 and 204.75 is: 307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.26 : 826.73 = 204.75 : x
  2. Step 2: Convert to fraction form
    551.26/826.73 = 204.75/x
  3. Step 3: Cross multiply
    551.26x = 826.73 × 204.75
  4. Step 4: Simplify right side
    551.26x = 169,275.61
  5. Step 5: Solve for x
    x = 169,275.61/551.26
  6. Step 6: Final answer
    x = 307.07

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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.