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Finding the Fourth Proportional to 584.58, 806.22 and 363.36

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Solution

The fourth proportional to 584.58, 806.22 and 363.36 is: 501.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.58 : 806.22 = 363.36 : x
  2. Step 2: Convert to fraction form
    584.58/806.22 = 363.36/x
  3. Step 3: Cross multiply
    584.58x = 806.22 × 363.36
  4. Step 4: Simplify right side
    584.58x = 292,948.10
  5. Step 5: Solve for x
    x = 292,948.10/584.58
  6. Step 6: Final answer
    x = 501.13

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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.