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Finding the Fourth Proportional to 551, 823.45 and 442.28

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Solution

The fourth proportional to 551, 823.45 and 442.28 is: 660.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    551 : 823.45 = 442.28 : x
  2. Step 2: Convert to fraction form
    551/823.45 = 442.28/x
  3. Step 3: Cross multiply
    551x = 823.45 × 442.28
  4. Step 4: Simplify right side
    551x = 364,195.47
  5. Step 5: Solve for x
    x = 364,195.47/551
  6. Step 6: Final answer
    x = 660.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.