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Finding the Fourth Proportional to 551.61, 826.25 and 388.71

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Solution

The fourth proportional to 551.61, 826.25 and 388.71 is: 582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.61 : 826.25 = 388.71 : x
  2. Step 2: Convert to fraction form
    551.61/826.25 = 388.71/x
  3. Step 3: Cross multiply
    551.61x = 826.25 × 388.71
  4. Step 4: Simplify right side
    551.61x = 321,169.69
  5. Step 5: Solve for x
    x = 321,169.69/551.61
  6. Step 6: Final answer
    x = 582.24

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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.