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Finding the Fourth Proportional to 584.20, 827.62 and 584.20

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Solution

The fourth proportional to 584.20, 827.62 and 584.20 is: 827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.20 : 827.62 = 584.20 : x
  2. Step 2: Convert to fraction form
    584.20/827.62 = 584.20/x
  3. Step 3: Cross multiply
    584.20x = 827.62 × 584.20
  4. Step 4: Simplify right side
    584.20x = 483,495.60
  5. Step 5: Solve for x
    x = 483,495.60/584.20
  6. Step 6: Final answer
    x = 827.62

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.