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Finding the Fourth Proportional to 584.82, 806.38 and 398.41

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Solution

The fourth proportional to 584.82, 806.38 and 398.41 is: 549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.82 : 806.38 = 398.41 : x
  2. Step 2: Convert to fraction form
    584.82/806.38 = 398.41/x
  3. Step 3: Cross multiply
    584.82x = 806.38 × 398.41
  4. Step 4: Simplify right side
    584.82x = 321,269.86
  5. Step 5: Solve for x
    x = 321,269.86/584.82
  6. Step 6: Final answer
    x = 549.35

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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.