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Finding the Fourth Proportional to 551.59, 827.19 and 259.04

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Solution

The fourth proportional to 551.59, 827.19 and 259.04 is: 388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.59 : 827.19 = 259.04 : x
  2. Step 2: Convert to fraction form
    551.59/827.19 = 259.04/x
  3. Step 3: Cross multiply
    551.59x = 827.19 × 259.04
  4. Step 4: Simplify right side
    551.59x = 214,275.30
  5. Step 5: Solve for x
    x = 214,275.30/551.59
  6. Step 6: Final answer
    x = 388.47

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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.