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Finding the Fourth Proportional to 584.85, 806.99 and 364.10

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Solution

The fourth proportional to 584.85, 806.99 and 364.10 is: 502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.85 : 806.99 = 364.10 : x
  2. Step 2: Convert to fraction form
    584.85/806.99 = 364.10/x
  3. Step 3: Cross multiply
    584.85x = 806.99 × 364.10
  4. Step 4: Simplify right side
    584.85x = 293,825.06
  5. Step 5: Solve for x
    x = 293,825.06/584.85
  6. Step 6: Final answer
    x = 502.39

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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.