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Finding the Fourth Proportional to 584.69, 806.63 and 418.57

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Solution

The fourth proportional to 584.69, 806.63 and 418.57 is: 577.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.69 : 806.63 = 418.57 : x
  2. Step 2: Convert to fraction form
    584.69/806.63 = 418.57/x
  3. Step 3: Cross multiply
    584.69x = 806.63 × 418.57
  4. Step 4: Simplify right side
    584.69x = 337,627.01
  5. Step 5: Solve for x
    x = 337,627.01/584.69
  6. Step 6: Final answer
    x = 577.45

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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.