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Finding the Fourth Proportional to 584.50, 806.66 and 410.26

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Solution

The fourth proportional to 584.50, 806.66 and 410.26 is: 566.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.50 : 806.66 = 410.26 : x
  2. Step 2: Convert to fraction form
    584.50/806.66 = 410.26/x
  3. Step 3: Cross multiply
    584.50x = 806.66 × 410.26
  4. Step 4: Simplify right side
    584.50x = 330,940.33
  5. Step 5: Solve for x
    x = 330,940.33/584.50
  6. Step 6: Final answer
    x = 566.19

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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.