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Finding the Fourth Proportional to 584.10, 806.17 and 363.27

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Solution

The fourth proportional to 584.10, 806.17 and 363.27 is: 501.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.10 : 806.17 = 363.27 : x
  2. Step 2: Convert to fraction form
    584.10/806.17 = 363.27/x
  3. Step 3: Cross multiply
    584.10x = 806.17 × 363.27
  4. Step 4: Simplify right side
    584.10x = 292,857.38
  5. Step 5: Solve for x
    x = 292,857.38/584.10
  6. Step 6: Final answer
    x = 501.38

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1.5x scale

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.