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Finding the Fourth Proportional to 551.68, 827.40 and 259

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Solution

The fourth proportional to 551.68, 827.40 and 259 is: 388.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.68 : 827.40 = 259 : x
  2. Step 2: Convert to fraction form
    551.68/827.40 = 259/x
  3. Step 3: Cross multiply
    551.68x = 827.40 × 259
  4. Step 4: Simplify right side
    551.68x = 214,296.60
  5. Step 5: Solve for x
    x = 214,296.60/551.68
  6. Step 6: Final answer
    x = 388.44

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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.