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Finding the Fourth Proportional to 585.04, 806.25 and 418.97

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Solution

The fourth proportional to 585.04, 806.25 and 418.97 is: 577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.04 : 806.25 = 418.97 : x
  2. Step 2: Convert to fraction form
    585.04/806.25 = 418.97/x
  3. Step 3: Cross multiply
    585.04x = 806.25 × 418.97
  4. Step 4: Simplify right side
    585.04x = 337,794.56
  5. Step 5: Solve for x
    x = 337,794.56/585.04
  6. Step 6: Final answer
    x = 577.39

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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.