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Finding the Fourth Proportional to 584.06, 806.22 and 362.90

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Solution

The fourth proportional to 584.06, 806.22 and 362.90 is: 500.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.06 : 806.22 = 362.90 : x
  2. Step 2: Convert to fraction form
    584.06/806.22 = 362.90/x
  3. Step 3: Cross multiply
    584.06x = 806.22 × 362.90
  4. Step 4: Simplify right side
    584.06x = 292,577.24
  5. Step 5: Solve for x
    x = 292,577.24/584.06
  6. Step 6: Final answer
    x = 500.94

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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.