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Finding the Fourth Proportional to 584.30, 806.82 and 522.02

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Solution

The fourth proportional to 584.30, 806.82 and 522.02 is: 720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.30 : 806.82 = 522.02 : x
  2. Step 2: Convert to fraction form
    584.30/806.82 = 522.02/x
  3. Step 3: Cross multiply
    584.30x = 806.82 × 522.02
  4. Step 4: Simplify right side
    584.30x = 421,176.18
  5. Step 5: Solve for x
    x = 421,176.18/584.30
  6. Step 6: Final answer
    x = 720.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.