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Finding the Fourth Proportional to 584.21, 806.31 and 409.43

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Solution

The fourth proportional to 584.21, 806.31 and 409.43 is: 565.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.21 : 806.31 = 409.43 : x
  2. Step 2: Convert to fraction form
    584.21/806.31 = 409.43/x
  3. Step 3: Cross multiply
    584.21x = 806.31 × 409.43
  4. Step 4: Simplify right side
    584.21x = 330,127.50
  5. Step 5: Solve for x
    x = 330,127.50/584.21
  6. Step 6: Final answer
    x = 565.08

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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.