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Finding the Fourth Proportional to 584.05, 806.48 and 521.77

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Solution

The fourth proportional to 584.05, 806.48 and 521.77 is: 720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.05 : 806.48 = 521.77 : x
  2. Step 2: Convert to fraction form
    584.05/806.48 = 521.77/x
  3. Step 3: Cross multiply
    584.05x = 806.48 × 521.77
  4. Step 4: Simplify right side
    584.05x = 420,794.46
  5. Step 5: Solve for x
    x = 420,794.46/584.05
  6. Step 6: Final answer
    x = 720.48

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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.